6(y+8)=9+(y+3)

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Solution for 6(y+8)=9+(y+3) equation:


Simplifying
6(y + 8) = 9 + (y + 3)

Reorder the terms:
6(8 + y) = 9 + (y + 3)
(8 * 6 + y * 6) = 9 + (y + 3)
(48 + 6y) = 9 + (y + 3)

Reorder the terms:
48 + 6y = 9 + (3 + y)

Remove parenthesis around (3 + y)
48 + 6y = 9 + 3 + y

Combine like terms: 9 + 3 = 12
48 + 6y = 12 + y

Solving
48 + 6y = 12 + 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.
48 + 6y + -1y = 12 + y + -1y

Combine like terms: 6y + -1y = 5y
48 + 5y = 12 + y + -1y

Combine like terms: y + -1y = 0
48 + 5y = 12 + 0
48 + 5y = 12

Add '-48' to each side of the equation.
48 + -48 + 5y = 12 + -48

Combine like terms: 48 + -48 = 0
0 + 5y = 12 + -48
5y = 12 + -48

Combine like terms: 12 + -48 = -36
5y = -36

Divide each side by '5'.
y = -7.2

Simplifying
y = -7.2

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