10=2(y-7)-8y

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Solution for 10=2(y-7)-8y equation:


Simplifying
10 = 2(y + -7) + -8y

Reorder the terms:
10 = 2(-7 + y) + -8y
10 = (-7 * 2 + y * 2) + -8y
10 = (-14 + 2y) + -8y

Combine like terms: 2y + -8y = -6y
10 = -14 + -6y

Solving
10 = -14 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
10 + 6y = -14 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 6y = -14 + 0
10 + 6y = -14

Add '-10' to each side of the equation.
10 + -10 + 6y = -14 + -10

Combine like terms: 10 + -10 = 0
0 + 6y = -14 + -10
6y = -14 + -10

Combine like terms: -14 + -10 = -24
6y = -24

Divide each side by '6'.
y = -4

Simplifying
y = -4

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