10-12y+5=2(y-8)

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Solution for 10-12y+5=2(y-8) equation: 


Simplifying
10 + -12y + 5 = 2(y + -8)

Reorder the terms:
10 + 5 + -12y = 2(y + -8)

Combine like terms: 10 + 5 = 15
15 + -12y = 2(y + -8)

Reorder the terms:
15 + -12y = 2(-8 + y)
15 + -12y = (-8 * 2 + y * 2)
15 + -12y = (-16 + 2y)

Solving
15 + -12y = -16 + 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 + -12y + -2y = -16 + 2y + -2y

Combine like terms: -12y + -2y = -14y
15 + -14y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + -14y = -16 + 0
15 + -14y = -16

Add '-15' to each side of the equation.
15 + -15 + -14y = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -14y = -16 + -15
-14y = -16 + -15

Combine like terms: -16 + -15 = -31
-14y = -31

Divide each side by '-14'.
y = 2.214285714

Simplifying
y = 2.214285714

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