5y+4-3y=10+y-2

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Solution for 5y+4-3y=10+y-2 equation:


Simplifying
5y + 4 + -3y = 10 + y + -2

Reorder the terms:
4 + 5y + -3y = 10 + y + -2

Combine like terms: 5y + -3y = 2y
4 + 2y = 10 + y + -2

Reorder the terms:
4 + 2y = 10 + -2 + y

Combine like terms: 10 + -2 = 8
4 + 2y = 8 + y

Solving
4 + 2y = 8 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
4 + 2y + -1y = 8 + y + -1y

Combine like terms: 2y + -1y = 1y
4 + 1y = 8 + y + -1y

Combine like terms: y + -1y = 0
4 + 1y = 8 + 0
4 + 1y = 8

Add '-4' to each side of the equation.
4 + -4 + 1y = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = 8 + -4
1y = 8 + -4

Combine like terms: 8 + -4 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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