2(y-7)-8=(-3+1)-7y

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Solution for 2(y-7)-8=(-3+1)-7y equation: 


Simplifying
2(y + -7) + -8 = (-3 + 1) + -7y

Reorder the terms:
2(-7 + y) + -8 = (-3 + 1) + -7y
(-7 * 2 + y * 2) + -8 = (-3 + 1) + -7y
(-14 + 2y) + -8 = (-3 + 1) + -7y

Reorder the terms:
-14 + -8 + 2y = (-3 + 1) + -7y

Combine like terms: -14 + -8 = -22
-22 + 2y = (-3 + 1) + -7y

Combine like terms: -3 + 1 = -2
-22 + 2y = (-2) + -7y
-22 + 2y = -2 + -7y

Solving
-22 + 2y = -2 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-22 + 2y + 7y = -2 + -7y + 7y

Combine like terms: 2y + 7y = 9y
-22 + 9y = -2 + -7y + 7y

Combine like terms: -7y + 7y = 0
-22 + 9y = -2 + 0
-22 + 9y = -2

Add '22' to each side of the equation.
-22 + 22 + 9y = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 9y = -2 + 22
9y = -2 + 22

Combine like terms: -2 + 22 = 20
9y = 20

Divide each side by '9'.
y = 2.222222222

Simplifying
y = 2.222222222

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