9(y+1)+6=2(y+3)-6.5

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Solution for 9(y+1)+6=2(y+3)-6.5 equation: 


Simplifying
9(y + 1) + 6 = 2(y + 3) + -6.5

Reorder the terms:
9(1 + y) + 6 = 2(y + 3) + -6.5
(1 * 9 + y * 9) + 6 = 2(y + 3) + -6.5
(9 + 9y) + 6 = 2(y + 3) + -6.5

Reorder the terms:
9 + 6 + 9y = 2(y + 3) + -6.5

Combine like terms: 9 + 6 = 15
15 + 9y = 2(y + 3) + -6.5

Reorder the terms:
15 + 9y = 2(3 + y) + -6.5
15 + 9y = (3 * 2 + y * 2) + -6.5
15 + 9y = (6 + 2y) + -6.5

Reorder the terms:
15 + 9y = 6 + -6.5 + 2y

Combine like terms: 6 + -6.5 = -0.5
15 + 9y = -0.5 + 2y

Solving
15 + 9y = -0.5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
15 + 9y + -2y = -0.5 + 2y + -2y

Combine like terms: 9y + -2y = 7y
15 + 7y = -0.5 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + 7y = -0.5 + 0
15 + 7y = -0.5

Add '-15' to each side of the equation.
15 + -15 + 7y = -0.5 + -15

Combine like terms: 15 + -15 = 0
0 + 7y = -0.5 + -15
7y = -0.5 + -15

Combine like terms: -0.5 + -15 = -15.5
7y = -15.5

Divide each side by '7'.
y = -2.214285714

Simplifying
y = -2.214285714

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