0.16(y-7)+0.06y=0.02y-2.5

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Solution for 0.16(y-7)+0.06y=0.02y-2.5 equation: 


Simplifying
0.16(y + -7) + 0.06y = 0.02y + -2.5

Reorder the terms:
0.16(-7 + y) + 0.06y = 0.02y + -2.5
(-7 * 0.16 + y * 0.16) + 0.06y = 0.02y + -2.5
(-1.12 + 0.16y) + 0.06y = 0.02y + -2.5

Combine like terms: 0.16y + 0.06y = 0.22y
-1.12 + 0.22y = 0.02y + -2.5

Reorder the terms:
-1.12 + 0.22y = -2.5 + 0.02y

Solving
-1.12 + 0.22y = -2.5 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-1.12 + 0.22y + -0.02y = -2.5 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-1.12 + 0.2y = -2.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-1.12 + 0.2y = -2.5 + 0.00
-1.12 + 0.2y = -2.5

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.2y = -2.5 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.2y = -2.5 + 1.12
0.2y = -2.5 + 1.12

Combine like terms: -2.5 + 1.12 = -1.38
0.2y = -1.38

Divide each side by '0.2'.
y = -6.9

Simplifying
y = -6.9

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