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

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


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

Reorder the terms:
7y + 2(-6 + y) = (y + 2) + -3
7y + (-6 * 2 + y * 2) = (y + 2) + -3
7y + (-12 + 2y) = (y + 2) + -3

Reorder the terms:
-12 + 7y + 2y = (y + 2) + -3

Combine like terms: 7y + 2y = 9y
-12 + 9y = (y + 2) + -3

Reorder the terms:
-12 + 9y = (2 + y) + -3

Remove parenthesis around (2 + y)
-12 + 9y = 2 + y + -3

Reorder the terms:
-12 + 9y = 2 + -3 + y

Combine like terms: 2 + -3 = -1
-12 + 9y = -1 + y

Solving
-12 + 9y = -1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-12 + 9y + -1y = -1 + y + -1y

Combine like terms: 9y + -1y = 8y
-12 + 8y = -1 + y + -1y

Combine like terms: y + -1y = 0
-12 + 8y = -1 + 0
-12 + 8y = -1

Add '12' to each side of the equation.
-12 + 12 + 8y = -1 + 12

Combine like terms: -12 + 12 = 0
0 + 8y = -1 + 12
8y = -1 + 12

Combine like terms: -1 + 12 = 11
8y = 11

Divide each side by '8'.
y = 1.375

Simplifying
y = 1.375

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