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

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


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

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

Reorder the terms:
-15 + 3y = 5 + -2y

Solving
-15 + 3y = 5 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-15 + 3y + 2y = 5 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-15 + 5y = 5 + -2y + 2y

Combine like terms: -2y + 2y = 0
-15 + 5y = 5 + 0
-15 + 5y = 5

Add '15' to each side of the equation.
-15 + 15 + 5y = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 5 + 15
5y = 5 + 15

Combine like terms: 5 + 15 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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