7y+1=9y-13+35

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Solution for 7y+1=9y-13+35 equation:


Simplifying
7y + 1 = 9y + -13 + 35

Reorder the terms:
1 + 7y = 9y + -13 + 35

Reorder the terms:
1 + 7y = -13 + 35 + 9y

Combine like terms: -13 + 35 = 22
1 + 7y = 22 + 9y

Solving
1 + 7y = 22 + 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.
1 + 7y + -9y = 22 + 9y + -9y

Combine like terms: 7y + -9y = -2y
1 + -2y = 22 + 9y + -9y

Combine like terms: 9y + -9y = 0
1 + -2y = 22 + 0
1 + -2y = 22

Add '-1' to each side of the equation.
1 + -1 + -2y = 22 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 22 + -1
-2y = 22 + -1

Combine like terms: 22 + -1 = 21
-2y = 21

Divide each side by '-2'.
y = -10.5

Simplifying
y = -10.5

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