(8y+4)+(4y+8)=15y-9

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Solution for (8y+4)+(4y+8)=15y-9 equation:


Simplifying
(8y + 4) + (4y + 8) = 15y + -9

Reorder the terms:
(4 + 8y) + (4y + 8) = 15y + -9

Remove parenthesis around (4 + 8y)
4 + 8y + (4y + 8) = 15y + -9

Reorder the terms:
4 + 8y + (8 + 4y) = 15y + -9

Remove parenthesis around (8 + 4y)
4 + 8y + 8 + 4y = 15y + -9

Reorder the terms:
4 + 8 + 8y + 4y = 15y + -9

Combine like terms: 4 + 8 = 12
12 + 8y + 4y = 15y + -9

Combine like terms: 8y + 4y = 12y
12 + 12y = 15y + -9

Reorder the terms:
12 + 12y = -9 + 15y

Solving
12 + 12y = -9 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
12 + 12y + -15y = -9 + 15y + -15y

Combine like terms: 12y + -15y = -3y
12 + -3y = -9 + 15y + -15y

Combine like terms: 15y + -15y = 0
12 + -3y = -9 + 0
12 + -3y = -9

Add '-12' to each side of the equation.
12 + -12 + -3y = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = -9 + -12
-3y = -9 + -12

Combine like terms: -9 + -12 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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