-35+7y+7=3(3y-2)-6

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Solution for -35+7y+7=3(3y-2)-6 equation:


Simplifying
-35 + 7y + 7 = 3(3y + -2) + -6

Reorder the terms:
-35 + 7 + 7y = 3(3y + -2) + -6

Combine like terms: -35 + 7 = -28
-28 + 7y = 3(3y + -2) + -6

Reorder the terms:
-28 + 7y = 3(-2 + 3y) + -6
-28 + 7y = (-2 * 3 + 3y * 3) + -6
-28 + 7y = (-6 + 9y) + -6

Reorder the terms:
-28 + 7y = -6 + -6 + 9y

Combine like terms: -6 + -6 = -12
-28 + 7y = -12 + 9y

Solving
-28 + 7y = -12 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-28 + 7y + -9y = -12 + 9y + -9y

Combine like terms: 7y + -9y = -2y
-28 + -2y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
-28 + -2y = -12 + 0
-28 + -2y = -12

Add '28' to each side of the equation.
-28 + 28 + -2y = -12 + 28

Combine like terms: -28 + 28 = 0
0 + -2y = -12 + 28
-2y = -12 + 28

Combine like terms: -12 + 28 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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