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

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


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

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

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

Reorder the terms:
-3 + 3y = 10 + 3 + -5y

Combine like terms: 10 + 3 = 13
-3 + 3y = 13 + -5y

Solving
-3 + 3y = 13 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-3 + 3y + 5y = 13 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-3 + 8y = 13 + -5y + 5y

Combine like terms: -5y + 5y = 0
-3 + 8y = 13 + 0
-3 + 8y = 13

Add '3' to each side of the equation.
-3 + 3 + 8y = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8y = 13 + 3
8y = 13 + 3

Combine like terms: 13 + 3 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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