-3(6y-7)-y=-2(y-3)

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Solution for -3(6y-7)-y=-2(y-3) equation:


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

Reorder the terms:
-3(-7 + 6y) + -1y = -2(y + -3)
(-7 * -3 + 6y * -3) + -1y = -2(y + -3)
(21 + -18y) + -1y = -2(y + -3)

Combine like terms: -18y + -1y = -19y
21 + -19y = -2(y + -3)

Reorder the terms:
21 + -19y = -2(-3 + y)
21 + -19y = (-3 * -2 + y * -2)
21 + -19y = (6 + -2y)

Solving
21 + -19y = 6 + -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 + -19y + 2y = 6 + -2y + 2y

Combine like terms: -19y + 2y = -17y
21 + -17y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
21 + -17y = 6 + 0
21 + -17y = 6

Add '-21' to each side of the equation.
21 + -21 + -17y = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -17y = 6 + -21
-17y = 6 + -21

Combine like terms: 6 + -21 = -15
-17y = -15

Divide each side by '-17'.
y = 0.8823529412

Simplifying
y = 0.8823529412

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