3y+1=5y-7(2)

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Solution for 3y+1=5y-7(2) equation: 


Simplifying
3y + 1 = 5y + -7(2)

Reorder the terms:
1 + 3y = 5y + -7(2)

Multiply -7 * 2
1 + 3y = 5y + -14

Reorder the terms:
1 + 3y = -14 + 5y

Solving
1 + 3y = -14 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
1 + 3y + -5y = -14 + 5y + -5y

Combine like terms: 3y + -5y = -2y
1 + -2y = -14 + 5y + -5y

Combine like terms: 5y + -5y = 0
1 + -2y = -14 + 0
1 + -2y = -14

Add '-1' to each side of the equation.
1 + -1 + -2y = -14 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = -14 + -1
-2y = -14 + -1

Combine like terms: -14 + -1 = -15
-2y = -15

Divide each side by '-2'.
y = 7.5

Simplifying
y = 7.5

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