solve 4y + 10 = 46
4y + 10 = 46
4y = 46 - 10
4y = 36
y = ?
To solve the equation 4y + 10 = 46, we need to isolate the variable y. Here's how you can do it step by step:
Step 1: Start with the equation 4y + 10 = 46.
Step 2: To isolate y, we need to get rid of the constant term on the left side. We can do this by subtracting 10 from both sides of the equation.
4y + 10 - 10 = 46 - 10
4y = 36
Step 3: Now, we want to solve for y, so we need to get rid of the coefficient of y. To do this, divide both sides of the equation by 4.
(4y)/4 = 36/4
y = 9
Step 4: Therefore, the solution to the equation 4y + 10 = 46 is y = 9.
To verify the solution: Substitute y = 9 back into the original equation:
4(9) + 10 = 36 + 10 = 46
Thus, the solution is correct. The value of y that satisfies the equation 4y + 10 = 46 is y = 9.