-3(6y-10)-y=-2(y-3)

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Solution for -3(6y-10)-y=-2(y-3) equation:


Simplifying
-3(6y + -10) + -1y = -2(y + -3)

Reorder the terms:
-3(-10 + 6y) + -1y = -2(y + -3)
(-10 * -3 + 6y * -3) + -1y = -2(y + -3)
(30 + -18y) + -1y = -2(y + -3)

Combine like terms: -18y + -1y = -19y
30 + -19y = -2(y + -3)

Reorder the terms:
30 + -19y = -2(-3 + y)
30 + -19y = (-3 * -2 + y * -2)
30 + -19y = (6 + -2y)

Solving
30 + -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.
30 + -19y + 2y = 6 + -2y + 2y

Combine like terms: -19y + 2y = -17y
30 + -17y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + -17y = 6 + 0
30 + -17y = 6

Add '-30' to each side of the equation.
30 + -30 + -17y = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -17y = 6 + -30
-17y = 6 + -30

Combine like terms: 6 + -30 = -24
-17y = -24

Divide each side by '-17'.
y = 1.411764706

Simplifying
y = 1.411764706

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