(6y+3)+(2y+4)=12y-13

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Solution for (6y+3)+(2y+4)=12y-13 equation:


Simplifying
(6y + 3) + (2y + 4) = 12y + -13

Reorder the terms:
(3 + 6y) + (2y + 4) = 12y + -13

Remove parenthesis around (3 + 6y)
3 + 6y + (2y + 4) = 12y + -13

Reorder the terms:
3 + 6y + (4 + 2y) = 12y + -13

Remove parenthesis around (4 + 2y)
3 + 6y + 4 + 2y = 12y + -13

Reorder the terms:
3 + 4 + 6y + 2y = 12y + -13

Combine like terms: 3 + 4 = 7
7 + 6y + 2y = 12y + -13

Combine like terms: 6y + 2y = 8y
7 + 8y = 12y + -13

Reorder the terms:
7 + 8y = -13 + 12y

Solving
7 + 8y = -13 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
7 + 8y + -12y = -13 + 12y + -12y

Combine like terms: 8y + -12y = -4y
7 + -4y = -13 + 12y + -12y

Combine like terms: 12y + -12y = 0
7 + -4y = -13 + 0
7 + -4y = -13

Add '-7' to each side of the equation.
7 + -7 + -4y = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = -13 + -7
-4y = -13 + -7

Combine like terms: -13 + -7 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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