-2(y+3)=6y-1+2(5y+5)

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Solution for -2(y+3)=6y-1+2(5y+5) equation:


Simplifying
-2(y + 3) = 6y + -1 + 2(5y + 5)

Reorder the terms:
-2(3 + y) = 6y + -1 + 2(5y + 5)
(3 * -2 + y * -2) = 6y + -1 + 2(5y + 5)
(-6 + -2y) = 6y + -1 + 2(5y + 5)

Reorder the terms:
-6 + -2y = 6y + -1 + 2(5 + 5y)
-6 + -2y = 6y + -1 + (5 * 2 + 5y * 2)
-6 + -2y = 6y + -1 + (10 + 10y)

Reorder the terms:
-6 + -2y = -1 + 10 + 6y + 10y

Combine like terms: -1 + 10 = 9
-6 + -2y = 9 + 6y + 10y

Combine like terms: 6y + 10y = 16y
-6 + -2y = 9 + 16y

Solving
-6 + -2y = 9 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-6 + -2y + -16y = 9 + 16y + -16y

Combine like terms: -2y + -16y = -18y
-6 + -18y = 9 + 16y + -16y

Combine like terms: 16y + -16y = 0
-6 + -18y = 9 + 0
-6 + -18y = 9

Add '6' to each side of the equation.
-6 + 6 + -18y = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -18y = 9 + 6
-18y = 9 + 6

Combine like terms: 9 + 6 = 15
-18y = 15

Divide each side by '-18'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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