3y-10+y+28=7y+20-5y

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Solution for 3y-10+y+28=7y+20-5y equation: 


Simplifying
3y + -10 + y + 28 = 7y + 20 + -5y

Reorder the terms:
-10 + 28 + 3y + y = 7y + 20 + -5y

Combine like terms: -10 + 28 = 18
18 + 3y + y = 7y + 20 + -5y

Combine like terms: 3y + y = 4y
18 + 4y = 7y + 20 + -5y

Reorder the terms:
18 + 4y = 20 + 7y + -5y

Combine like terms: 7y + -5y = 2y
18 + 4y = 20 + 2y

Solving
18 + 4y = 20 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
18 + 4y + -2y = 20 + 2y + -2y

Combine like terms: 4y + -2y = 2y
18 + 2y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + 2y = 20 + 0
18 + 2y = 20

Add '-18' to each side of the equation.
18 + -18 + 2y = 20 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 20 + -18
2y = 20 + -18

Combine like terms: 20 + -18 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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