-7(y+1)=3y-9+2(4y+6)

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Solution for -7(y+1)=3y-9+2(4y+6) equation:


Simplifying
-7(y + 1) = 3y + -9 + 2(4y + 6)

Reorder the terms:
-7(1 + y) = 3y + -9 + 2(4y + 6)
(1 * -7 + y * -7) = 3y + -9 + 2(4y + 6)
(-7 + -7y) = 3y + -9 + 2(4y + 6)

Reorder the terms:
-7 + -7y = 3y + -9 + 2(6 + 4y)
-7 + -7y = 3y + -9 + (6 * 2 + 4y * 2)
-7 + -7y = 3y + -9 + (12 + 8y)

Reorder the terms:
-7 + -7y = -9 + 12 + 3y + 8y

Combine like terms: -9 + 12 = 3
-7 + -7y = 3 + 3y + 8y

Combine like terms: 3y + 8y = 11y
-7 + -7y = 3 + 11y

Solving
-7 + -7y = 3 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-7 + -7y + -11y = 3 + 11y + -11y

Combine like terms: -7y + -11y = -18y
-7 + -18y = 3 + 11y + -11y

Combine like terms: 11y + -11y = 0
-7 + -18y = 3 + 0
-7 + -18y = 3

Add '7' to each side of the equation.
-7 + 7 + -18y = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -18y = 3 + 7
-18y = 3 + 7

Combine like terms: 3 + 7 = 10
-18y = 10

Divide each side by '-18'.
y = -0.5555555556

Simplifying
y = -0.5555555556

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