4y-13=2y-5

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Solution for 4y-13=2y-5 equation:


Simplifying
4y + -13 = 2y + -5

Reorder the terms:
-13 + 4y = 2y + -5

Reorder the terms:
-13 + 4y = -5 + 2y

Solving
-13 + 4y = -5 + 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.
-13 + 4y + -2y = -5 + 2y + -2y

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

Combine like terms: 2y + -2y = 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 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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