6y+2+5y+9=15y-13

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Solution for 6y+2+5y+9=15y-13 equation:


Simplifying
6y + 2 + 5y + 9 = 15y + -13

Reorder the terms:
2 + 9 + 6y + 5y = 15y + -13

Combine like terms: 2 + 9 = 11
11 + 6y + 5y = 15y + -13

Combine like terms: 6y + 5y = 11y
11 + 11y = 15y + -13

Reorder the terms:
11 + 11y = -13 + 15y

Solving
11 + 11y = -13 + 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.
11 + 11y + -15y = -13 + 15y + -15y

Combine like terms: 11y + -15y = -4y
11 + -4y = -13 + 15y + -15y

Combine like terms: 15y + -15y = 0
11 + -4y = -13 + 0
11 + -4y = -13

Add '-11' to each side of the equation.
11 + -11 + -4y = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -13 + -11
-4y = -13 + -11

Combine like terms: -13 + -11 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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