5(5y+5+5)=25(-17-2y+8)

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Solution for 5(5y+5+5)=25(-17-2y+8) equation:


Simplifying
5(5y + 5 + 5) = 25(-17 + -2y + 8)

Reorder the terms:
5(5 + 5 + 5y) = 25(-17 + -2y + 8)

Combine like terms: 5 + 5 = 10
5(10 + 5y) = 25(-17 + -2y + 8)
(10 * 5 + 5y * 5) = 25(-17 + -2y + 8)
(50 + 25y) = 25(-17 + -2y + 8)

Reorder the terms:
50 + 25y = 25(-17 + 8 + -2y)

Combine like terms: -17 + 8 = -9
50 + 25y = 25(-9 + -2y)
50 + 25y = (-9 * 25 + -2y * 25)
50 + 25y = (-225 + -50y)

Solving
50 + 25y = -225 + -50y

Solving for variable 'y'.

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

Add '50y' to each side of the equation.
50 + 25y + 50y = -225 + -50y + 50y

Combine like terms: 25y + 50y = 75y
50 + 75y = -225 + -50y + 50y

Combine like terms: -50y + 50y = 0
50 + 75y = -225 + 0
50 + 75y = -225

Add '-50' to each side of the equation.
50 + -50 + 75y = -225 + -50

Combine like terms: 50 + -50 = 0
0 + 75y = -225 + -50
75y = -225 + -50

Combine like terms: -225 + -50 = -275
75y = -275

Divide each side by '75'.
y = -3.666666667

Simplifying
y = -3.666666667

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