2y+5=4y+13

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


Simplifying
2y + 5 = 4y + 13

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

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

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

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

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

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

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

Combine like terms: 13 + -5 = 8
-2y = 8

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

Simplifying
y = -4

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