4(-2y+9)=-2(3y-7)

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Solution for 4(-2y+9)=-2(3y-7) equation: 


Simplifying
4(-2y + 9) = -2(3y + -7)

Reorder the terms:
4(9 + -2y) = -2(3y + -7)
(9 * 4 + -2y * 4) = -2(3y + -7)
(36 + -8y) = -2(3y + -7)

Reorder the terms:
36 + -8y = -2(-7 + 3y)
36 + -8y = (-7 * -2 + 3y * -2)
36 + -8y = (14 + -6y)

Solving
36 + -8y = 14 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
36 + -8y + 6y = 14 + -6y + 6y

Combine like terms: -8y + 6y = -2y
36 + -2y = 14 + -6y + 6y

Combine like terms: -6y + 6y = 0
36 + -2y = 14 + 0
36 + -2y = 14

Add '-36' to each side of the equation.
36 + -36 + -2y = 14 + -36

Combine like terms: 36 + -36 = 0
0 + -2y = 14 + -36
-2y = 14 + -36

Combine like terms: 14 + -36 = -22
-2y = -22

Divide each side by '-2'.
y = 11

Simplifying
y = 11

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