0.14(y-5)+0.16y=0.10y-2.1

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Solution for 0.14(y-5)+0.16y=0.10y-2.1 equation: 


Simplifying
0.14(y + -5) + 0.16y = 0.10y + -2.1

Reorder the terms:
0.14(-5 + y) + 0.16y = 0.10y + -2.1
(-5 * 0.14 + y * 0.14) + 0.16y = 0.10y + -2.1
(-0.7 + 0.14y) + 0.16y = 0.10y + -2.1

Combine like terms: 0.14y + 0.16y = 0.3y
-0.7 + 0.3y = 0.10y + -2.1

Reorder the terms:
-0.7 + 0.3y = -2.1 + 0.10y

Solving
-0.7 + 0.3y = -2.1 + 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.
-0.7 + 0.3y + -0.10y = -2.1 + 0.10y + -0.10y

Combine like terms: 0.3y + -0.10y = 0.2y
-0.7 + 0.2y = -2.1 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.7 + 0.2y = -2.1 + 0.00
-0.7 + 0.2y = -2.1

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.2y = -2.1 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.2y = -2.1 + 0.7
0.2y = -2.1 + 0.7

Combine like terms: -2.1 + 0.7 = -1.4
0.2y = -1.4

Divide each side by '0.2'.
y = -7

Simplifying
y = -7

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