0.25(y+6)=2y-3(y-3)

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Solution for 0.25(y+6)=2y-3(y-3) equation: 


Simplifying
0.25(y + 6) = 2y + -3(y + -3)

Reorder the terms:
0.25(6 + y) = 2y + -3(y + -3)
(6 * 0.25 + y * 0.25) = 2y + -3(y + -3)
(1.5 + 0.25y) = 2y + -3(y + -3)

Reorder the terms:
1.5 + 0.25y = 2y + -3(-3 + y)
1.5 + 0.25y = 2y + (-3 * -3 + y * -3)
1.5 + 0.25y = 2y + (9 + -3y)

Reorder the terms:
1.5 + 0.25y = 9 + 2y + -3y

Combine like terms: 2y + -3y = -1y
1.5 + 0.25y = 9 + -1y

Solving
1.5 + 0.25y = 9 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
1.5 + 0.25y + y = 9 + -1y + y

Combine like terms: 0.25y + y = 1.25y
1.5 + 1.25y = 9 + -1y + y

Combine like terms: -1y + y = 0
1.5 + 1.25y = 9 + 0
1.5 + 1.25y = 9

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1.25y = 9 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.25y = 9 + -1.5
1.25y = 9 + -1.5

Combine like terms: 9 + -1.5 = 7.5
1.25y = 7.5

Divide each side by '1.25'.
y = 6

Simplifying
y = 6

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