0.04(y-1)+0.02y=0.16y-0.03(30)

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Solution for 0.04(y-1)+0.02y=0.16y-0.03(30) equation: 


Simplifying
0.04(y + -1) + 0.02y = 0.16y + -0.03(30)

Reorder the terms:
0.04(-1 + y) + 0.02y = 0.16y + -0.03(30)
(-1 * 0.04 + y * 0.04) + 0.02y = 0.16y + -0.03(30)
(-0.04 + 0.04y) + 0.02y = 0.16y + -0.03(30)

Combine like terms: 0.04y + 0.02y = 0.06y
-0.04 + 0.06y = 0.16y + -0.03(30)

Multiply -0.03 * 30
-0.04 + 0.06y = 0.16y + -0.9

Reorder the terms:
-0.04 + 0.06y = -0.9 + 0.16y

Solving
-0.04 + 0.06y = -0.9 + 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.
-0.04 + 0.06y + -0.16y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.06y + -0.16y = -0.1y
-0.04 + -0.1y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.04 + -0.1y = -0.9 + 0.00
-0.04 + -0.1y = -0.9

Add '0.04' to each side of the equation.
-0.04 + 0.04 + -0.1y = -0.9 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + -0.1y = -0.9 + 0.04
-0.1y = -0.9 + 0.04

Combine like terms: -0.9 + 0.04 = -0.86
-0.1y = -0.86

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

Simplifying
y = 8.6

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