2y-3(5y-3)=-3-3(5-y)

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


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

Reorder the terms:
2y + -3(-3 + 5y) = -3 + -3(5 + -1y)
2y + (-3 * -3 + 5y * -3) = -3 + -3(5 + -1y)
2y + (9 + -15y) = -3 + -3(5 + -1y)

Reorder the terms:
9 + 2y + -15y = -3 + -3(5 + -1y)

Combine like terms: 2y + -15y = -13y
9 + -13y = -3 + -3(5 + -1y)
9 + -13y = -3 + (5 * -3 + -1y * -3)
9 + -13y = -3 + (-15 + 3y)

Combine like terms: -3 + -15 = -18
9 + -13y = -18 + 3y

Solving
9 + -13y = -18 + 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.
9 + -13y + -3y = -18 + 3y + -3y

Combine like terms: -13y + -3y = -16y
9 + -16y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -16y = -18 + 0
9 + -16y = -18

Add '-9' to each side of the equation.
9 + -9 + -16y = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -16y = -18 + -9
-16y = -18 + -9

Combine like terms: -18 + -9 = -27
-16y = -27

Divide each side by '-16'.
y = 1.6875

Simplifying
y = 1.6875

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