3(y-5)-3=-3(-7y+8)-2y

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Solution for 3(y-5)-3=-3(-7y+8)-2y equation: 


Simplifying
3(y + -5) + -3 = -3(-7y + 8) + -2y

Reorder the terms:
3(-5 + y) + -3 = -3(-7y + 8) + -2y
(-5 * 3 + y * 3) + -3 = -3(-7y + 8) + -2y
(-15 + 3y) + -3 = -3(-7y + 8) + -2y

Reorder the terms:
-15 + -3 + 3y = -3(-7y + 8) + -2y

Combine like terms: -15 + -3 = -18
-18 + 3y = -3(-7y + 8) + -2y

Reorder the terms:
-18 + 3y = -3(8 + -7y) + -2y
-18 + 3y = (8 * -3 + -7y * -3) + -2y
-18 + 3y = (-24 + 21y) + -2y

Combine like terms: 21y + -2y = 19y
-18 + 3y = -24 + 19y

Solving
-18 + 3y = -24 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-18 + 3y + -19y = -24 + 19y + -19y

Combine like terms: 3y + -19y = -16y
-18 + -16y = -24 + 19y + -19y

Combine like terms: 19y + -19y = 0
-18 + -16y = -24 + 0
-18 + -16y = -24

Add '18' to each side of the equation.
-18 + 18 + -16y = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -16y = -24 + 18
-16y = -24 + 18

Combine like terms: -24 + 18 = -6
-16y = -6

Divide each side by '-16'.
y = 0.375

Simplifying
y = 0.375

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