2(y+8)=10(y-6)

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Solution for 2(y+8)=10(y-6) equation: 


Simplifying
2(y + 8) = 10(y + -6)

Reorder the terms:
2(8 + y) = 10(y + -6)
(8 * 2 + y * 2) = 10(y + -6)
(16 + 2y) = 10(y + -6)

Reorder the terms:
16 + 2y = 10(-6 + y)
16 + 2y = (-6 * 10 + y * 10)
16 + 2y = (-60 + 10y)

Solving
16 + 2y = -60 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
16 + 2y + -10y = -60 + 10y + -10y

Combine like terms: 2y + -10y = -8y
16 + -8y = -60 + 10y + -10y

Combine like terms: 10y + -10y = 0
16 + -8y = -60 + 0
16 + -8y = -60

Add '-16' to each side of the equation.
16 + -16 + -8y = -60 + -16

Combine like terms: 16 + -16 = 0
0 + -8y = -60 + -16
-8y = -60 + -16

Combine like terms: -60 + -16 = -76
-8y = -76

Divide each side by '-8'.
y = 9.5

Simplifying
y = 9.5

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