(9y+1)=(10y-13)

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Solution for (9y+1)=(10y-13) equation:


Simplifying
(9y + 1) = (10y + -13)

Reorder the terms:
(1 + 9y) = (10y + -13)

Remove parenthesis around (1 + 9y)
1 + 9y = (10y + -13)

Reorder the terms:
1 + 9y = (-13 + 10y)

Remove parenthesis around (-13 + 10y)
1 + 9y = -13 + 10y

Solving
1 + 9y = -13 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
1 + 9y + -10y = -13 + 10y + -10y

Combine like terms: 9y + -10y = -1y
1 + -1y = -13 + 10y + -10y

Combine like terms: 10y + -10y = 0
1 + -1y = -13 + 0
1 + -1y = -13

Add '-1' to each side of the equation.
1 + -1 + -1y = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = -13 + -1
-1y = -13 + -1

Combine like terms: -13 + -1 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

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