-3y-7(-9y-3)=8+2(3-y)

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Solution for -3y-7(-9y-3)=8+2(3-y) equation:


Simplifying
-3y + -7(-9y + -3) = 8 + 2(3 + -1y)

Reorder the terms:
-3y + -7(-3 + -9y) = 8 + 2(3 + -1y)
-3y + (-3 * -7 + -9y * -7) = 8 + 2(3 + -1y)
-3y + (21 + 63y) = 8 + 2(3 + -1y)

Reorder the terms:
21 + -3y + 63y = 8 + 2(3 + -1y)

Combine like terms: -3y + 63y = 60y
21 + 60y = 8 + 2(3 + -1y)
21 + 60y = 8 + (3 * 2 + -1y * 2)
21 + 60y = 8 + (6 + -2y)

Combine like terms: 8 + 6 = 14
21 + 60y = 14 + -2y

Solving
21 + 60y = 14 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
21 + 60y + 2y = 14 + -2y + 2y

Combine like terms: 60y + 2y = 62y
21 + 62y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
21 + 62y = 14 + 0
21 + 62y = 14

Add '-21' to each side of the equation.
21 + -21 + 62y = 14 + -21

Combine like terms: 21 + -21 = 0
0 + 62y = 14 + -21
62y = 14 + -21

Combine like terms: 14 + -21 = -7
62y = -7

Divide each side by '62'.
y = -0.1129032258

Simplifying
y = -0.1129032258

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