5y+1-y=8+3y+5

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Solution for 5y+1-y=8+3y+5 equation:


Simplifying
5y + 1 + -1y = 8 + 3y + 5

Reorder the terms:
1 + 5y + -1y = 8 + 3y + 5

Combine like terms: 5y + -1y = 4y
1 + 4y = 8 + 3y + 5

Reorder the terms:
1 + 4y = 8 + 5 + 3y

Combine like terms: 8 + 5 = 13
1 + 4y = 13 + 3y

Solving
1 + 4y = 13 + 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.
1 + 4y + -3y = 13 + 3y + -3y

Combine like terms: 4y + -3y = 1y
1 + 1y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
1 + 1y = 13 + 0
1 + 1y = 13

Add '-1' to each side of the equation.
1 + -1 + 1y = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 13 + -1
1y = 13 + -1

Combine like terms: 13 + -1 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12

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