18-(6-10y)=4(2y-6)-8

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Solution for 18-(6-10y)=4(2y-6)-8 equation:


Simplifying
18 + -1(6 + -10y) = 4(2y + -6) + -8
18 + (6 * -1 + -10y * -1) = 4(2y + -6) + -8
18 + (-6 + 10y) = 4(2y + -6) + -8

Combine like terms: 18 + -6 = 12
12 + 10y = 4(2y + -6) + -8

Reorder the terms:
12 + 10y = 4(-6 + 2y) + -8
12 + 10y = (-6 * 4 + 2y * 4) + -8
12 + 10y = (-24 + 8y) + -8

Reorder the terms:
12 + 10y = -24 + -8 + 8y

Combine like terms: -24 + -8 = -32
12 + 10y = -32 + 8y

Solving
12 + 10y = -32 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
12 + 10y + -8y = -32 + 8y + -8y

Combine like terms: 10y + -8y = 2y
12 + 2y = -32 + 8y + -8y

Combine like terms: 8y + -8y = 0
12 + 2y = -32 + 0
12 + 2y = -32

Add '-12' to each side of the equation.
12 + -12 + 2y = -32 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = -32 + -12
2y = -32 + -12

Combine like terms: -32 + -12 = -44
2y = -44

Divide each side by '2'.
y = -22

Simplifying
y = -22

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