2(1-y)+3=3(y+5)

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Solution for 2(1-y)+3=3(y+5) equation: 


Simplifying
2(1 + -1y) + 3 = 3(y + 5)
(1 * 2 + -1y * 2) + 3 = 3(y + 5)
(2 + -2y) + 3 = 3(y + 5)

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

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

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

Solving
5 + -2y = 15 + 3y

Solving for variable 'y'.

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

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

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

Combine like terms: 3y + -3y = 0
5 + -5y = 15 + 0
5 + -5y = 15

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

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

Combine like terms: 15 + -5 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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