25y-1.5(4y-7)-2(5y+8)=30.5+2.5(2y-8)

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Solution for 25y-1.5(4y-7)-2(5y+8)=30.5+2.5(2y-8) equation: 


Simplifying
25y + -1.5(4y + -7) + -2(5y + 8) = 30.5 + 2.5(2y + -8)

Reorder the terms:
25y + -1.5(-7 + 4y) + -2(5y + 8) = 30.5 + 2.5(2y + -8)
25y + (-7 * -1.5 + 4y * -1.5) + -2(5y + 8) = 30.5 + 2.5(2y + -8)
25y + (10.5 + -6y) + -2(5y + 8) = 30.5 + 2.5(2y + -8)

Reorder the terms:
25y + 10.5 + -6y + -2(8 + 5y) = 30.5 + 2.5(2y + -8)
25y + 10.5 + -6y + (8 * -2 + 5y * -2) = 30.5 + 2.5(2y + -8)
25y + 10.5 + -6y + (-16 + -10y) = 30.5 + 2.5(2y + -8)

Reorder the terms:
10.5 + -16 + 25y + -6y + -10y = 30.5 + 2.5(2y + -8)

Combine like terms: 10.5 + -16 = -5.5
-5.5 + 25y + -6y + -10y = 30.5 + 2.5(2y + -8)

Combine like terms: 25y + -6y = 19y
-5.5 + 19y + -10y = 30.5 + 2.5(2y + -8)

Combine like terms: 19y + -10y = 9y
-5.5 + 9y = 30.5 + 2.5(2y + -8)

Reorder the terms:
-5.5 + 9y = 30.5 + 2.5(-8 + 2y)
-5.5 + 9y = 30.5 + (-8 * 2.5 + 2y * 2.5)
-5.5 + 9y = 30.5 + (-20 + 5y)

Combine like terms: 30.5 + -20 = 10.5
-5.5 + 9y = 10.5 + 5y

Solving
-5.5 + 9y = 10.5 + 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.
-5.5 + 9y + -5y = 10.5 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-5.5 + 4y = 10.5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-5.5 + 4y = 10.5 + 0
-5.5 + 4y = 10.5

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 4y = 10.5 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 4y = 10.5 + 5.5
4y = 10.5 + 5.5

Combine like terms: 10.5 + 5.5 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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