0.08(y-8)+0.18y=0.16y-0.05(30)

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Solution for 0.08(y-8)+0.18y=0.16y-0.05(30) equation:


Simplifying
0.08(y + -8) + 0.18y = 0.16y + -0.05(30)

Reorder the terms:
0.08(-8 + y) + 0.18y = 0.16y + -0.05(30)
(-8 * 0.08 + y * 0.08) + 0.18y = 0.16y + -0.05(30)
(-0.64 + 0.08y) + 0.18y = 0.16y + -0.05(30)

Combine like terms: 0.08y + 0.18y = 0.26y
-0.64 + 0.26y = 0.16y + -0.05(30)

Multiply -0.05 * 30
-0.64 + 0.26y = 0.16y + -1.5

Reorder the terms:
-0.64 + 0.26y = -1.5 + 0.16y

Solving
-0.64 + 0.26y = -1.5 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.64 + 0.26y + -0.16y = -1.5 + 0.16y + -0.16y

Combine like terms: 0.26y + -0.16y = 0.1y
-0.64 + 0.1y = -1.5 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.64 + 0.1y = -1.5 + 0.00
-0.64 + 0.1y = -1.5

Add '0.64' to each side of the equation.
-0.64 + 0.64 + 0.1y = -1.5 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 0.1y = -1.5 + 0.64
0.1y = -1.5 + 0.64

Combine like terms: -1.5 + 0.64 = -0.86
0.1y = -0.86

Divide each side by '0.1'.
y = -8.6

Simplifying
y = -8.6

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