.14(y-4)+.10y=.16y-.1

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Solution for .14(y-4)+.10y=.16y-.1 equation:


Simplifying
0.14(y + -4) + 0.10y = 0.16y + -0.1

Reorder the terms:
0.14(-4 + y) + 0.10y = 0.16y + -0.1
(-4 * 0.14 + y * 0.14) + 0.10y = 0.16y + -0.1
(-0.56 + 0.14y) + 0.10y = 0.16y + -0.1

Combine like terms: 0.14y + 0.10y = 0.24y
-0.56 + 0.24y = 0.16y + -0.1

Reorder the terms:
-0.56 + 0.24y = -0.1 + 0.16y

Solving
-0.56 + 0.24y = -0.1 + 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.
-0.56 + 0.24y + -0.16y = -0.1 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.56 + 0.08y = -0.1 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.56 + 0.08y = -0.1 + 0.00
-0.56 + 0.08y = -0.1

Add '0.56' to each side of the equation.
-0.56 + 0.56 + 0.08y = -0.1 + 0.56

Combine like terms: -0.56 + 0.56 = 0.00
0.00 + 0.08y = -0.1 + 0.56
0.08y = -0.1 + 0.56

Combine like terms: -0.1 + 0.56 = 0.46
0.08y = 0.46

Divide each side by '0.08'.
y = 5.75

Simplifying
y = 5.75

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