2y+18-5y+4y=28-3y+14

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Solution for 2y+18-5y+4y=28-3y+14 equation: 


Simplifying
2y + 18 + -5y + 4y = 28 + -3y + 14

Reorder the terms:
18 + 2y + -5y + 4y = 28 + -3y + 14

Combine like terms: 2y + -5y = -3y
18 + -3y + 4y = 28 + -3y + 14

Combine like terms: -3y + 4y = 1y
18 + 1y = 28 + -3y + 14

Reorder the terms:
18 + 1y = 28 + 14 + -3y

Combine like terms: 28 + 14 = 42
18 + 1y = 42 + -3y

Solving
18 + 1y = 42 + -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.
18 + 1y + 3y = 42 + -3y + 3y

Combine like terms: 1y + 3y = 4y
18 + 4y = 42 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + 4y = 42 + 0
18 + 4y = 42

Add '-18' to each side of the equation.
18 + -18 + 4y = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 4y = 42 + -18
4y = 42 + -18

Combine like terms: 42 + -18 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

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