0.14(y-6)+0.04y=0.08y-0.1

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Solution for 0.14(y-6)+0.04y=0.08y-0.1 equation: 


Simplifying
0.14(y + -6) + 0.04y = 0.08y + -0.1

Reorder the terms:
0.14(-6 + y) + 0.04y = 0.08y + -0.1
(-6 * 0.14 + y * 0.14) + 0.04y = 0.08y + -0.1
(-0.84 + 0.14y) + 0.04y = 0.08y + -0.1

Combine like terms: 0.14y + 0.04y = 0.18y
-0.84 + 0.18y = 0.08y + -0.1

Reorder the terms:
-0.84 + 0.18y = -0.1 + 0.08y

Solving
-0.84 + 0.18y = -0.1 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.84 + 0.18y + -0.08y = -0.1 + 0.08y + -0.08y

Combine like terms: 0.18y + -0.08y = 0.1y
-0.84 + 0.1y = -0.1 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.84 + 0.1y = -0.1 + 0.00
-0.84 + 0.1y = -0.1

Add '0.84' to each side of the equation.
-0.84 + 0.84 + 0.1y = -0.1 + 0.84

Combine like terms: -0.84 + 0.84 = 0.00
0.00 + 0.1y = -0.1 + 0.84
0.1y = -0.1 + 0.84

Combine like terms: -0.1 + 0.84 = 0.74
0.1y = 0.74

Divide each side by '0.1'.
y = 7.4

Simplifying
y = 7.4

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