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

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


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

Reorder the terms:
2(1 + y) + -5 = 5(y + -2)
(1 * 2 + y * 2) + -5 = 5(y + -2)
(2 + 2y) + -5 = 5(y + -2)

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

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

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

Solving
-3 + 2y = -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.
-3 + 2y + -5y = -10 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-3 + -3y = -10 + 0
-3 + -3y = -10

Add '3' to each side of the equation.
-3 + 3 + -3y = -10 + 3

Combine like terms: -3 + 3 = 0
0 + -3y = -10 + 3
-3y = -10 + 3

Combine like terms: -10 + 3 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

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