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

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


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

Reorder the terms:
-3y + 9(-2 + y) = 2(7y + -1)
-3y + (-2 * 9 + y * 9) = 2(7y + -1)
-3y + (-18 + 9y) = 2(7y + -1)

Reorder the terms:
-18 + -3y + 9y = 2(7y + -1)

Combine like terms: -3y + 9y = 6y
-18 + 6y = 2(7y + -1)

Reorder the terms:
-18 + 6y = 2(-1 + 7y)
-18 + 6y = (-1 * 2 + 7y * 2)
-18 + 6y = (-2 + 14y)

Solving
-18 + 6y = -2 + 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.
-18 + 6y + -14y = -2 + 14y + -14y

Combine like terms: 6y + -14y = -8y
-18 + -8y = -2 + 14y + -14y

Combine like terms: 14y + -14y = 0
-18 + -8y = -2 + 0
-18 + -8y = -2

Add '18' to each side of the equation.
-18 + 18 + -8y = -2 + 18

Combine like terms: -18 + 18 = 0
0 + -8y = -2 + 18
-8y = -2 + 18

Combine like terms: -2 + 18 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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