5y-7=6+2(y+2)

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Solution for 5y-7=6+2(y+2) equation: 


Simplifying
5y + -7 = 6 + 2(y + 2)

Reorder the terms:
-7 + 5y = 6 + 2(y + 2)

Reorder the terms:
-7 + 5y = 6 + 2(2 + y)
-7 + 5y = 6 + (2 * 2 + y * 2)
-7 + 5y = 6 + (4 + 2y)

Combine like terms: 6 + 4 = 10
-7 + 5y = 10 + 2y

Solving
-7 + 5y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-7 + 5y + -2y = 10 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-7 + 3y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-7 + 3y = 10 + 0
-7 + 3y = 10

Add '7' to each side of the equation.
-7 + 7 + 3y = 10 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = 10 + 7
3y = 10 + 7

Combine like terms: 10 + 7 = 17
3y = 17

Divide each side by '3'.
y = 5.666666667

Simplifying
y = 5.666666667

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