0.04(y-7)+0.14y=0.10y-0.01(40)

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Solution for 0.04(y-7)+0.14y=0.10y-0.01(40) equation:


Simplifying
0.04(y + -7) + 0.14y = 0.10y + -0.01(40)

Reorder the terms:
0.04(-7 + y) + 0.14y = 0.10y + -0.01(40)
(-7 * 0.04 + y * 0.04) + 0.14y = 0.10y + -0.01(40)
(-0.28 + 0.04y) + 0.14y = 0.10y + -0.01(40)

Combine like terms: 0.04y + 0.14y = 0.18y
-0.28 + 0.18y = 0.10y + -0.01(40)

Multiply -0.01 * 40
-0.28 + 0.18y = 0.10y + -0.4

Reorder the terms:
-0.28 + 0.18y = -0.4 + 0.10y

Solving
-0.28 + 0.18y = -0.4 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.28 + 0.18y + -0.10y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.18y + -0.10y = 0.08y
-0.28 + 0.08y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.28 + 0.08y = -0.4 + 0.00
-0.28 + 0.08y = -0.4

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.08y = -0.4 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.08y = -0.4 + 0.28
0.08y = -0.4 + 0.28

Combine like terms: -0.4 + 0.28 = -0.12
0.08y = -0.12

Divide each side by '0.08'.
y = -1.5

Simplifying
y = -1.5

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