0.04(4y-2)=0.02(2+3y)+8

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Solution for 0.04(4y-2)=0.02(2+3y)+8 equation:


Simplifying
0.04(4y + -2) = 0.02(2 + 3y) + 8

Reorder the terms:
0.04(-2 + 4y) = 0.02(2 + 3y) + 8
(-2 * 0.04 + 4y * 0.04) = 0.02(2 + 3y) + 8
(-0.08 + 0.16y) = 0.02(2 + 3y) + 8
-0.08 + 0.16y = (2 * 0.02 + 3y * 0.02) + 8
-0.08 + 0.16y = (0.04 + 0.06y) + 8

Reorder the terms:
-0.08 + 0.16y = 0.04 + 8 + 0.06y

Combine like terms: 0.04 + 8 = 8.04
-0.08 + 0.16y = 8.04 + 0.06y

Solving
-0.08 + 0.16y = 8.04 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.08 + 0.16y + -0.06y = 8.04 + 0.06y + -0.06y

Combine like terms: 0.16y + -0.06y = 0.1y
-0.08 + 0.1y = 8.04 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.08 + 0.1y = 8.04 + 0.00
-0.08 + 0.1y = 8.04

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.1y = 8.04 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.1y = 8.04 + 0.08
0.1y = 8.04 + 0.08

Combine like terms: 8.04 + 0.08 = 8.12
0.1y = 8.12

Divide each side by '0.1'.
y = 81.2

Simplifying
y = 81.2

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