y+2=5(y+2)

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


Simplifying
y + 2 = 5(y + 2)

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

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

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

Combine like terms: y + -5y = -4y
2 + -4y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -4y = 10 + 0
2 + -4y = 10

Add '-2' to each side of the equation.
2 + -2 + -4y = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = 10 + -2
-4y = 10 + -2

Combine like terms: 10 + -2 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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