4(.625+1.125y)=y+21-2(.625+1.125y)

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Solution for 4(.625+1.125y)=y+21-2(.625+1.125y) equation:


Simplifying
4(0.625 + 1.125y) = y + 21 + -2(0.625 + 1.125y)
(0.625 * 4 + 1.125y * 4) = y + 21 + -2(0.625 + 1.125y)
(2.5 + 4.5y) = y + 21 + -2(0.625 + 1.125y)
2.5 + 4.5y = y + 21 + (0.625 * -2 + 1.125y * -2)
2.5 + 4.5y = y + 21 + (-1.25 + -2.25y)

Reorder the terms:
2.5 + 4.5y = 21 + -1.25 + y + -2.25y

Combine like terms: 21 + -1.25 = 19.75
2.5 + 4.5y = 19.75 + y + -2.25y

Combine like terms: y + -2.25y = -1.25y
2.5 + 4.5y = 19.75 + -1.25y

Solving
2.5 + 4.5y = 19.75 + -1.25y

Solving for variable 'y'.

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

Add '1.25y' to each side of the equation.
2.5 + 4.5y + 1.25y = 19.75 + -1.25y + 1.25y

Combine like terms: 4.5y + 1.25y = 5.75y
2.5 + 5.75y = 19.75 + -1.25y + 1.25y

Combine like terms: -1.25y + 1.25y = 0.00
2.5 + 5.75y = 19.75 + 0.00
2.5 + 5.75y = 19.75

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 5.75y = 19.75 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 5.75y = 19.75 + -2.5
5.75y = 19.75 + -2.5

Combine like terms: 19.75 + -2.5 = 17.25
5.75y = 17.25

Divide each side by '5.75'.
y = 3

Simplifying
y = 3

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