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

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


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

Reorder the terms:
5(-2 + y) + -2 = (y + 1) + -5
(-2 * 5 + y * 5) + -2 = (y + 1) + -5
(-10 + 5y) + -2 = (y + 1) + -5

Reorder the terms:
-10 + -2 + 5y = (y + 1) + -5

Combine like terms: -10 + -2 = -12
-12 + 5y = (y + 1) + -5

Reorder the terms:
-12 + 5y = (1 + y) + -5

Remove parenthesis around (1 + y)
-12 + 5y = 1 + y + -5

Reorder the terms:
-12 + 5y = 1 + -5 + y

Combine like terms: 1 + -5 = -4
-12 + 5y = -4 + y

Solving
-12 + 5y = -4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-12 + 5y + -1y = -4 + y + -1y

Combine like terms: 5y + -1y = 4y
-12 + 4y = -4 + y + -1y

Combine like terms: y + -1y = 0
-12 + 4y = -4 + 0
-12 + 4y = -4

Add '12' to each side of the equation.
-12 + 12 + 4y = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 4y = -4 + 12
4y = -4 + 12

Combine like terms: -4 + 12 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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