4y+10=9y-22

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Solution for 4y+10=9y-22 equation:


Simplifying
4y + 10 = 9y + -22

Reorder the terms:
10 + 4y = 9y + -22

Reorder the terms:
10 + 4y = -22 + 9y

Solving
10 + 4y = -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.
10 + 4y + -9y = -22 + 9y + -9y

Combine like terms: 4y + -9y = -5y
10 + -5y = -22 + 9y + -9y

Combine like terms: 9y + -9y = 0
10 + -5y = -22 + 0
10 + -5y = -22

Add '-10' to each side of the equation.
10 + -10 + -5y = -22 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = -22 + -10
-5y = -22 + -10

Combine like terms: -22 + -10 = -32
-5y = -32

Divide each side by '-5'.
y = 6.4

Simplifying
y = 6.4

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