5y+1-3y=7+y-5

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Solution for 5y+1-3y=7+y-5 equation:


Simplifying
5y + 1 + -3y = 7 + y + -5

Reorder the terms:
1 + 5y + -3y = 7 + y + -5

Combine like terms: 5y + -3y = 2y
1 + 2y = 7 + y + -5

Reorder the terms:
1 + 2y = 7 + -5 + y

Combine like terms: 7 + -5 = 2
1 + 2y = 2 + y

Solving
1 + 2y = 2 + 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.
1 + 2y + -1y = 2 + y + -1y

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

Combine like terms: y + -1y = 0
1 + 1y = 2 + 0
1 + 1y = 2

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

Combine like terms: 1 + -1 = 0
0 + 1y = 2 + -1
1y = 2 + -1

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

Divide each side by '1'.
y = 1

Simplifying
y = 1

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