6y+13=4y-5

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Solution for 6y+13=4y-5 equation:


Simplifying
6y + 13 = 4y + -5

Reorder the terms:
13 + 6y = 4y + -5

Reorder the terms:
13 + 6y = -5 + 4y

Solving
13 + 6y = -5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
13 + 6y + -4y = -5 + 4y + -4y

Combine like terms: 6y + -4y = 2y
13 + 2y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
13 + 2y = -5 + 0
13 + 2y = -5

Add '-13' to each side of the equation.
13 + -13 + 2y = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = -5 + -13
2y = -5 + -13

Combine like terms: -5 + -13 = -18
2y = -18

Divide each side by '2'.
y = -9

Simplifying
y = -9

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