-39+2y+7=2(3y-4)-4

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Solution for -39+2y+7=2(3y-4)-4 equation:


Simplifying
-39 + 2y + 7 = 2(3y + -4) + -4

Reorder the terms:
-39 + 7 + 2y = 2(3y + -4) + -4

Combine like terms: -39 + 7 = -32
-32 + 2y = 2(3y + -4) + -4

Reorder the terms:
-32 + 2y = 2(-4 + 3y) + -4
-32 + 2y = (-4 * 2 + 3y * 2) + -4
-32 + 2y = (-8 + 6y) + -4

Reorder the terms:
-32 + 2y = -8 + -4 + 6y

Combine like terms: -8 + -4 = -12
-32 + 2y = -12 + 6y

Solving
-32 + 2y = -12 + 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.
-32 + 2y + -6y = -12 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-32 + -4y = -12 + 6y + -6y

Combine like terms: 6y + -6y = 0
-32 + -4y = -12 + 0
-32 + -4y = -12

Add '32' to each side of the equation.
-32 + 32 + -4y = -12 + 32

Combine like terms: -32 + 32 = 0
0 + -4y = -12 + 32
-4y = -12 + 32

Combine like terms: -12 + 32 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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