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

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


Simplifying
-2(3 + -1y) + 8 + -5(2y + -1) = 3y
(3 * -2 + -1y * -2) + 8 + -5(2y + -1) = 3y
(-6 + 2y) + 8 + -5(2y + -1) = 3y

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

Reorder the terms:
-6 + 8 + 5 + 2y + -10y = 3y

Combine like terms: -6 + 8 = 2
2 + 5 + 2y + -10y = 3y

Combine like terms: 2 + 5 = 7
7 + 2y + -10y = 3y

Combine like terms: 2y + -10y = -8y
7 + -8y = 3y

Solving
7 + -8y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
7 + -8y + -3y = 3y + -3y

Combine like terms: -8y + -3y = -11y
7 + -11y = 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -11y = 0

Add '-7' to each side of the equation.
7 + -7 + -11y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -11y = 0 + -7
-11y = 0 + -7

Combine like terms: 0 + -7 = -7
-11y = -7

Divide each side by '-11'.
y = 0.6363636364

Simplifying
y = 0.6363636364

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