4y-16=3y+22

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Solution for 4y-16=3y+22 equation:


Simplifying
4y + -16 = 3y + 22

Reorder the terms:
-16 + 4y = 3y + 22

Reorder the terms:
-16 + 4y = 22 + 3y

Solving
-16 + 4y = 22 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-16 + 4y + -3y = 22 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-16 + 1y = 22 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 1y = 22 + 0
-16 + 1y = 22

Add '16' to each side of the equation.
-16 + 16 + 1y = 22 + 16

Combine like terms: -16 + 16 = 0
0 + 1y = 22 + 16
1y = 22 + 16

Combine like terms: 22 + 16 = 38
1y = 38

Divide each side by '1'.
y = 38

Simplifying
y = 38

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