4(2y-5)-(3y+7)=-12

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Solution for 4(2y-5)-(3y+7)=-12 equation:


Simplifying
4(2y + -5) + -1(3y + 7) = -12

Reorder the terms:
4(-5 + 2y) + -1(3y + 7) = -12
(-5 * 4 + 2y * 4) + -1(3y + 7) = -12
(-20 + 8y) + -1(3y + 7) = -12

Reorder the terms:
-20 + 8y + -1(7 + 3y) = -12
-20 + 8y + (7 * -1 + 3y * -1) = -12
-20 + 8y + (-7 + -3y) = -12

Reorder the terms:
-20 + -7 + 8y + -3y = -12

Combine like terms: -20 + -7 = -27
-27 + 8y + -3y = -12

Combine like terms: 8y + -3y = 5y
-27 + 5y = -12

Solving
-27 + 5y = -12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + 5y = -12 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = -12 + 27
5y = -12 + 27

Combine like terms: -12 + 27 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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