0.25(5y+4)=0.33(2y-1)

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Solution for 0.25(5y+4)=0.33(2y-1) equation: 


Simplifying
0.25(5y + 4) = 0.33(2y + -1)

Reorder the terms:
0.25(4 + 5y) = 0.33(2y + -1)
(4 * 0.25 + 5y * 0.25) = 0.33(2y + -1)
(1 + 1.25y) = 0.33(2y + -1)

Reorder the terms:
1 + 1.25y = 0.33(-1 + 2y)
1 + 1.25y = (-1 * 0.33 + 2y * 0.33)
1 + 1.25y = (-0.33 + 0.66y)

Solving
1 + 1.25y = -0.33 + 0.66y

Solving for variable 'y'.

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

Add '-0.66y' to each side of the equation.
1 + 1.25y + -0.66y = -0.33 + 0.66y + -0.66y

Combine like terms: 1.25y + -0.66y = 0.59y
1 + 0.59y = -0.33 + 0.66y + -0.66y

Combine like terms: 0.66y + -0.66y = 0.00
1 + 0.59y = -0.33 + 0.00
1 + 0.59y = -0.33

Add '-1' to each side of the equation.
1 + -1 + 0.59y = -0.33 + -1

Combine like terms: 1 + -1 = 0
0 + 0.59y = -0.33 + -1
0.59y = -0.33 + -1

Combine like terms: -0.33 + -1 = -1.33
0.59y = -1.33

Divide each side by '0.59'.
y = -2.254237288

Simplifying
y = -2.254237288

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