2(7y+4)=-8(y-1)-110

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Solution for 2(7y+4)=-8(y-1)-110 equation:


Simplifying
2(7y + 4) = -8(y + -1) + -110

Reorder the terms:
2(4 + 7y) = -8(y + -1) + -110
(4 * 2 + 7y * 2) = -8(y + -1) + -110
(8 + 14y) = -8(y + -1) + -110

Reorder the terms:
8 + 14y = -8(-1 + y) + -110
8 + 14y = (-1 * -8 + y * -8) + -110
8 + 14y = (8 + -8y) + -110

Reorder the terms:
8 + 14y = 8 + -110 + -8y

Combine like terms: 8 + -110 = -102
8 + 14y = -102 + -8y

Solving
8 + 14y = -102 + -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.
8 + 14y + 8y = -102 + -8y + 8y

Combine like terms: 14y + 8y = 22y
8 + 22y = -102 + -8y + 8y

Combine like terms: -8y + 8y = 0
8 + 22y = -102 + 0
8 + 22y = -102

Add '-8' to each side of the equation.
8 + -8 + 22y = -102 + -8

Combine like terms: 8 + -8 = 0
0 + 22y = -102 + -8
22y = -102 + -8

Combine like terms: -102 + -8 = -110
22y = -110

Divide each side by '22'.
y = -5

Simplifying
y = -5

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