9+y+5(y+1)=63-y

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Solution for 9+y+5(y+1)=63-y equation:


Simplifying
9 + y + 5(y + 1) = 63 + -1y

Reorder the terms:
9 + y + 5(1 + y) = 63 + -1y
9 + y + (1 * 5 + y * 5) = 63 + -1y
9 + y + (5 + 5y) = 63 + -1y

Reorder the terms:
9 + 5 + y + 5y = 63 + -1y

Combine like terms: 9 + 5 = 14
14 + y + 5y = 63 + -1y

Combine like terms: y + 5y = 6y
14 + 6y = 63 + -1y

Solving
14 + 6y = 63 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
14 + 6y + y = 63 + -1y + y

Combine like terms: 6y + y = 7y
14 + 7y = 63 + -1y + y

Combine like terms: -1y + y = 0
14 + 7y = 63 + 0
14 + 7y = 63

Add '-14' to each side of the equation.
14 + -14 + 7y = 63 + -14

Combine like terms: 14 + -14 = 0
0 + 7y = 63 + -14
7y = 63 + -14

Combine like terms: 63 + -14 = 49
7y = 49

Divide each side by '7'.
y = 7

Simplifying
y = 7

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