3y+2=7y+22

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Solution for 3y+2=7y+22 equation: 


Simplifying
3y + 2 = 7y + 22

Reorder the terms:
2 + 3y = 7y + 22

Reorder the terms:
2 + 3y = 22 + 7y

Solving
2 + 3y = 22 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
2 + 3y + -7y = 22 + 7y + -7y

Combine like terms: 3y + -7y = -4y
2 + -4y = 22 + 7y + -7y

Combine like terms: 7y + -7y = 0
2 + -4y = 22 + 0
2 + -4y = 22

Add '-2' to each side of the equation.
2 + -2 + -4y = 22 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = 22 + -2
-4y = 22 + -2

Combine like terms: 22 + -2 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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