.125(16y+24)-5=-.33(3y-12)

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Solution for .125(16y+24)-5=-.33(3y-12) equation:


Simplifying
0.125(16y + 24) + -5 = -0.33(3y + -12)

Reorder the terms:
0.125(24 + 16y) + -5 = -0.33(3y + -12)
(24 * 0.125 + 16y * 0.125) + -5 = -0.33(3y + -12)
(3 + 2y) + -5 = -0.33(3y + -12)

Reorder the terms:
3 + -5 + 2y = -0.33(3y + -12)

Combine like terms: 3 + -5 = -2
-2 + 2y = -0.33(3y + -12)

Reorder the terms:
-2 + 2y = -0.33(-12 + 3y)
-2 + 2y = (-12 * -0.33 + 3y * -0.33)
-2 + 2y = (3.96 + -0.99y)

Solving
-2 + 2y = 3.96 + -0.99y

Solving for variable 'y'.

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

Add '0.99y' to each side of the equation.
-2 + 2y + 0.99y = 3.96 + -0.99y + 0.99y

Combine like terms: 2y + 0.99y = 2.99y
-2 + 2.99y = 3.96 + -0.99y + 0.99y

Combine like terms: -0.99y + 0.99y = 0.00
-2 + 2.99y = 3.96 + 0.00
-2 + 2.99y = 3.96

Add '2' to each side of the equation.
-2 + 2 + 2.99y = 3.96 + 2

Combine like terms: -2 + 2 = 0
0 + 2.99y = 3.96 + 2
2.99y = 3.96 + 2

Combine like terms: 3.96 + 2 = 5.96
2.99y = 5.96

Divide each side by '2.99'.
y = 1.993311037

Simplifying
y = 1.993311037

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