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

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


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

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

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

Combine like terms: -15 + 3 = -12
-12 + 3y = 5(y + -2)

Reorder the terms:
-12 + 3y = 5(-2 + y)
-12 + 3y = (-2 * 5 + y * 5)
-12 + 3y = (-10 + 5y)

Solving
-12 + 3y = -10 + 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.
-12 + 3y + -5y = -10 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-12 + -2y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -2y = -10 + 0
-12 + -2y = -10

Add '12' to each side of the equation.
-12 + 12 + -2y = -10 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = -10 + 12
-2y = -10 + 12

Combine like terms: -10 + 12 = 2
-2y = 2

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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