# .10(y-5)+.05y=.14y-0.6

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## Solution for .10(y-5)+.05y=.14y-0.6 equation:

Simplifying
0.10(y + -5) + 0.05y = 0.14y + -0.6
Reorder the terms:
0.10(-5 + y) + 0.05y = 0.14y + -0.6
(-5 * 0.10 + y * 0.10) + 0.05y = 0.14y + -0.6
(-0.5 + 0.10y) + 0.05y = 0.14y + -0.6
Combine like terms: 0.10y + 0.05y = 0.15y
-0.5 + 0.15y = 0.14y + -0.6
Reorder the terms:
-0.5 + 0.15y = -0.6 + 0.14y
Solving
-0.5 + 0.15y = -0.6 + 0.14y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-0.14y' to each side of the equation.
-0.5 + 0.15y + -0.14y = -0.6 + 0.14y + -0.14y
Combine like terms: 0.15y + -0.14y = 0.01y
-0.5 + 0.01y = -0.6 + 0.14y + -0.14y
Combine like terms: 0.14y + -0.14y = 0.00
-0.5 + 0.01y = -0.6 + 0.00
-0.5 + 0.01y = -0.6
Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.01y = -0.6 + 0.5
Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.01y = -0.6 + 0.5
0.01y = -0.6 + 0.5
Combine like terms: -0.6 + 0.5 = -0.1
0.01y = -0.1
Divide each side by '0.01'.
y = -10
Simplifying
y = -10`

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