11y+13=9y+40

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Solution for 11y+13=9y+40 equation:


Simplifying
11y + 13 = 9y + 40

Reorder the terms:
13 + 11y = 9y + 40

Reorder the terms:
13 + 11y = 40 + 9y

Solving
13 + 11y = 40 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
13 + 11y + -9y = 40 + 9y + -9y

Combine like terms: 11y + -9y = 2y
13 + 2y = 40 + 9y + -9y

Combine like terms: 9y + -9y = 0
13 + 2y = 40 + 0
13 + 2y = 40

Add '-13' to each side of the equation.
13 + -13 + 2y = 40 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = 40 + -13
2y = 40 + -13

Combine like terms: 40 + -13 = 27
2y = 27

Divide each side by '2'.
y = 13.5

Simplifying
y = 13.5

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