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

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


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

Reorder the terms:
5(7 + 2y) = 3y + -1
(7 * 5 + 2y * 5) = 3y + -1
(35 + 10y) = 3y + -1

Reorder the terms:
35 + 10y = -1 + 3y

Solving
35 + 10y = -1 + 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.
35 + 10y + -3y = -1 + 3y + -3y

Combine like terms: 10y + -3y = 7y
35 + 7y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
35 + 7y = -1 + 0
35 + 7y = -1

Add '-35' to each side of the equation.
35 + -35 + 7y = -1 + -35

Combine like terms: 35 + -35 = 0
0 + 7y = -1 + -35
7y = -1 + -35

Combine like terms: -1 + -35 = -36
7y = -36

Divide each side by '7'.
y = -5.142857143

Simplifying
y = -5.142857143

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