3(y-5)+2=5y

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


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

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

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

Combine like terms: -15 + 2 = -13
-13 + 3y = 5y

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

Combine like terms: 3y + -5y = -2y
-13 + -2y = 5y + -5y

Combine like terms: 5y + -5y = 0
-13 + -2y = 0

Add '13' to each side of the equation.
-13 + 13 + -2y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2y = 0 + 13
-2y = 0 + 13

Combine like terms: 0 + 13 = 13
-2y = 13

Divide each side by '-2'.
y = -6.5

Simplifying
y = -6.5

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