3y+22=4y-16

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


Simplifying
3y + 22 = 4y + -16

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

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

Solving
22 + 3y = -16 + 4y

Solving for variable 'y'.

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

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

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

Combine like terms: 4y + -4y = 0
22 + -1y = -16 + 0
22 + -1y = -16

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

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

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

Divide each side by '-1'.
y = 38

Simplifying
y = 38

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