8.4-4y=1.25(-3y+6)

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Solution for 8.4-4y=1.25(-3y+6) equation: 


Simplifying
8.4 + -4y = 1.25(-3y + 6)

Reorder the terms:
8.4 + -4y = 1.25(6 + -3y)
8.4 + -4y = (6 * 1.25 + -3y * 1.25)
8.4 + -4y = (7.5 + -3.75y)

Solving
8.4 + -4y = 7.5 + -3.75y

Solving for variable 'y'.

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

Add '3.75y' to each side of the equation.
8.4 + -4y + 3.75y = 7.5 + -3.75y + 3.75y

Combine like terms: -4y + 3.75y = -0.25y
8.4 + -0.25y = 7.5 + -3.75y + 3.75y

Combine like terms: -3.75y + 3.75y = 0.00
8.4 + -0.25y = 7.5 + 0.00
8.4 + -0.25y = 7.5

Add '-8.4' to each side of the equation.
8.4 + -8.4 + -0.25y = 7.5 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + -0.25y = 7.5 + -8.4
-0.25y = 7.5 + -8.4

Combine like terms: 7.5 + -8.4 = -0.9
-0.25y = -0.9

Divide each side by '-0.25'.
y = 3.6

Simplifying
y = 3.6

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