5(5y-1)+20=3(6y+2)+7

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Solution for 5(5y-1)+20=3(6y+2)+7 equation:


Simplifying
5(5y + -1) + 20 = 3(6y + 2) + 7

Reorder the terms:
5(-1 + 5y) + 20 = 3(6y + 2) + 7
(-1 * 5 + 5y * 5) + 20 = 3(6y + 2) + 7
(-5 + 25y) + 20 = 3(6y + 2) + 7

Reorder the terms:
-5 + 20 + 25y = 3(6y + 2) + 7

Combine like terms: -5 + 20 = 15
15 + 25y = 3(6y + 2) + 7

Reorder the terms:
15 + 25y = 3(2 + 6y) + 7
15 + 25y = (2 * 3 + 6y * 3) + 7
15 + 25y = (6 + 18y) + 7

Reorder the terms:
15 + 25y = 6 + 7 + 18y

Combine like terms: 6 + 7 = 13
15 + 25y = 13 + 18y

Solving
15 + 25y = 13 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
15 + 25y + -18y = 13 + 18y + -18y

Combine like terms: 25y + -18y = 7y
15 + 7y = 13 + 18y + -18y

Combine like terms: 18y + -18y = 0
15 + 7y = 13 + 0
15 + 7y = 13

Add '-15' to each side of the equation.
15 + -15 + 7y = 13 + -15

Combine like terms: 15 + -15 = 0
0 + 7y = 13 + -15
7y = 13 + -15

Combine like terms: 13 + -15 = -2
7y = -2

Divide each side by '7'.
y = -0.2857142857

Simplifying
y = -0.2857142857

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