0.5(y+3)+3=0.25(7y-11)-8

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Solution for 0.5(y+3)+3=0.25(7y-11)-8 equation: 


Simplifying
0.5(y + 3) + 3 = 0.25(7y + -11) + -8

Reorder the terms:
0.5(3 + y) + 3 = 0.25(7y + -11) + -8
(3 * 0.5 + y * 0.5) + 3 = 0.25(7y + -11) + -8
(1.5 + 0.5y) + 3 = 0.25(7y + -11) + -8

Reorder the terms:
1.5 + 3 + 0.5y = 0.25(7y + -11) + -8

Combine like terms: 1.5 + 3 = 4.5
4.5 + 0.5y = 0.25(7y + -11) + -8

Reorder the terms:
4.5 + 0.5y = 0.25(-11 + 7y) + -8
4.5 + 0.5y = (-11 * 0.25 + 7y * 0.25) + -8
4.5 + 0.5y = (-2.75 + 1.75y) + -8

Reorder the terms:
4.5 + 0.5y = -2.75 + -8 + 1.75y

Combine like terms: -2.75 + -8 = -10.75
4.5 + 0.5y = -10.75 + 1.75y

Solving
4.5 + 0.5y = -10.75 + 1.75y

Solving for variable 'y'.

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

Add '-1.75y' to each side of the equation.
4.5 + 0.5y + -1.75y = -10.75 + 1.75y + -1.75y

Combine like terms: 0.5y + -1.75y = -1.25y
4.5 + -1.25y = -10.75 + 1.75y + -1.75y

Combine like terms: 1.75y + -1.75y = 0.00
4.5 + -1.25y = -10.75 + 0.00
4.5 + -1.25y = -10.75

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -1.25y = -10.75 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.25y = -10.75 + -4.5
-1.25y = -10.75 + -4.5

Combine like terms: -10.75 + -4.5 = -15.25
-1.25y = -15.25

Divide each side by '-1.25'.
y = 12.2

Simplifying
y = 12.2

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