2(2y+7)=-14(y-1)-90

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Solution for 2(2y+7)=-14(y-1)-90 equation: 


Simplifying
2(2y + 7) = -14(y + -1) + -90

Reorder the terms:
2(7 + 2y) = -14(y + -1) + -90
(7 * 2 + 2y * 2) = -14(y + -1) + -90
(14 + 4y) = -14(y + -1) + -90

Reorder the terms:
14 + 4y = -14(-1 + y) + -90
14 + 4y = (-1 * -14 + y * -14) + -90
14 + 4y = (14 + -14y) + -90

Reorder the terms:
14 + 4y = 14 + -90 + -14y

Combine like terms: 14 + -90 = -76
14 + 4y = -76 + -14y

Solving
14 + 4y = -76 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
14 + 4y + 14y = -76 + -14y + 14y

Combine like terms: 4y + 14y = 18y
14 + 18y = -76 + -14y + 14y

Combine like terms: -14y + 14y = 0
14 + 18y = -76 + 0
14 + 18y = -76

Add '-14' to each side of the equation.
14 + -14 + 18y = -76 + -14

Combine like terms: 14 + -14 = 0
0 + 18y = -76 + -14
18y = -76 + -14

Combine like terms: -76 + -14 = -90
18y = -90

Divide each side by '18'.
y = -5

Simplifying
y = -5

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