4y-70=12y+2
4y-70=12y+2
-8y = 72
y = 72/-8
y = -9
To solve the equation 4y - 70 = 12y + 2, you need to isolate the variable y on one side of the equation. Here's the step-by-step solution:
Step 1: Combine like terms on both sides of the equation:
Starting with the left side, move the term with y to the right side by adding 70 to both sides:
4y - 70 + 70 = 12y + 2 + 70
This simplifies to:
4y = 12y + 72
Step 2: Simplify the equation by subtracting 12y from both sides:
4y - 12y = 12y + 72 - 12y
This simplifies to:
-8y = 72
Step 3: Divide both sides of the equation by -8 to solve for y:
-8y / -8 = 72 / -8
This simplifies to:
y = -9
So the solution to the equation 4y - 70 = 12y + 2 is y = -9.
To solve the equation 4y - 70 = 12y + 2, we want to isolate the variable y on one side of the equation. Here's how we can do it:
Step 1: Simplify both sides of the equation by combining like terms. We start with the left side:
4y - 70 = 12y + 2
Step 2: To combine like terms, we need to move the term with y to one side of the equation. We can do this by subtracting 4y from both sides of the equation:
4y - 4y - 70 = 12y - 4y + 2
Simplifying further:
-70 = 8y + 2
Step 3: Now we can isolate the term with y by subtracting 2 from both sides of the equation:
-70 - 2 = 8y + 2 - 2
Simplifying further:
-72 = 8y
Step 4: To solve for y, we divide both sides of the equation by 8:
-72/8 = 8y/8
Simplifying further:
-9 = y
Therefore, the solution to the equation is y = -9.