.06(y+20)+.08(y-10)=4.6

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Solution for .06(y+20)+.08(y-10)=4.6 equation: 


Simplifying
0.06(y + 20) + 0.08(y + -10) = 4.6

Reorder the terms:
0.06(20 + y) + 0.08(y + -10) = 4.6
(20 * 0.06 + y * 0.06) + 0.08(y + -10) = 4.6
(1.2 + 0.06y) + 0.08(y + -10) = 4.6

Reorder the terms:
1.2 + 0.06y + 0.08(-10 + y) = 4.6
1.2 + 0.06y + (-10 * 0.08 + y * 0.08) = 4.6
1.2 + 0.06y + (-0.8 + 0.08y) = 4.6

Reorder the terms:
1.2 + -0.8 + 0.06y + 0.08y = 4.6

Combine like terms: 1.2 + -0.8 = 0.4
0.4 + 0.06y + 0.08y = 4.6

Combine like terms: 0.06y + 0.08y = 0.14y
0.4 + 0.14y = 4.6

Solving
0.4 + 0.14y = 4.6

Solving for variable 'y'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.14y = 4.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.14y = 4.6 + -0.4
0.14y = 4.6 + -0.4

Combine like terms: 4.6 + -0.4 = 4.2
0.14y = 4.2

Divide each side by '0.14'.
y = 30

Simplifying
y = 30

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