-3(2y-3)=2(1-5y)+8

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Solution for -3(2y-3)=2(1-5y)+8 equation: 


Simplifying
-3(2y + -3) = 2(1 + -5y) + 8

Reorder the terms:
-3(-3 + 2y) = 2(1 + -5y) + 8
(-3 * -3 + 2y * -3) = 2(1 + -5y) + 8
(9 + -6y) = 2(1 + -5y) + 8
9 + -6y = (1 * 2 + -5y * 2) + 8
9 + -6y = (2 + -10y) + 8

Reorder the terms:
9 + -6y = 2 + 8 + -10y

Combine like terms: 2 + 8 = 10
9 + -6y = 10 + -10y

Solving
9 + -6y = 10 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
9 + -6y + 10y = 10 + -10y + 10y

Combine like terms: -6y + 10y = 4y
9 + 4y = 10 + -10y + 10y

Combine like terms: -10y + 10y = 0
9 + 4y = 10 + 0
9 + 4y = 10

Add '-9' to each side of the equation.
9 + -9 + 4y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 10 + -9
4y = 10 + -9

Combine like terms: 10 + -9 = 1
4y = 1

Divide each side by '4'.
y = 0.25

Simplifying
y = 0.25

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