0.14(y-7)+0.20y=0.06y-2.8

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Solution for 0.14(y-7)+0.20y=0.06y-2.8 equation: 


Simplifying
0.14(y + -7) + 0.20y = 0.06y + -2.8

Reorder the terms:
0.14(-7 + y) + 0.20y = 0.06y + -2.8
(-7 * 0.14 + y * 0.14) + 0.20y = 0.06y + -2.8
(-0.98 + 0.14y) + 0.20y = 0.06y + -2.8

Combine like terms: 0.14y + 0.20y = 0.34y
-0.98 + 0.34y = 0.06y + -2.8

Reorder the terms:
-0.98 + 0.34y = -2.8 + 0.06y

Solving
-0.98 + 0.34y = -2.8 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.98 + 0.34y + -0.06y = -2.8 + 0.06y + -0.06y

Combine like terms: 0.34y + -0.06y = 0.28y
-0.98 + 0.28y = -2.8 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.98 + 0.28y = -2.8 + 0.00
-0.98 + 0.28y = -2.8

Add '0.98' to each side of the equation.
-0.98 + 0.98 + 0.28y = -2.8 + 0.98

Combine like terms: -0.98 + 0.98 = 0.00
0.00 + 0.28y = -2.8 + 0.98
0.28y = -2.8 + 0.98

Combine like terms: -2.8 + 0.98 = -1.82
0.28y = -1.82

Divide each side by '0.28'.
y = -6.5

Simplifying
y = -6.5

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