-4y+10=-2(3y+1)
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Distributing (multiplying out the parenthesis)
-4y-10=-6y-2
Put the variables (letters) on one side and the numbers on the other
2y-10=-2
2y=8
y=4
To find the value of y in the equation -4y + 10 = -2(3y + 1), we can start by simplifying the equation step by step.
1. Distribute the -2 to the terms inside the parentheses on the right side of the equation:
-4y + 10 = -6y - 2
2. Next, we can move all the terms containing y to one side of the equation by adding 6y and subtracting 10 from both sides:
-4y + 6y = -2 - 10
Simplifying this:
2y = -12
3. Finally, we isolate y by dividing both sides of the equation by 2:
2y/2 = -12/2
Simplifying further:
y = -6
Therefore, the value of y that satisfies the equation -4y + 10 = -2(3y + 1) is y = -6.