2-6y+3=4y+13-6y

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


Simplifying
2 + -6y + 3 = 4y + 13 + -6y

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

Combine like terms: 2 + 3 = 5
5 + -6y = 4y + 13 + -6y

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

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

Solving
5 + -6y = 13 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
5 + -6y + 2y = 13 + -2y + 2y

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

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

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

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

Combine like terms: 13 + -5 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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