0.02(y-9)=0.05(6y+1)-0.79

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Solution for 0.02(y-9)=0.05(6y+1)-0.79 equation: 


Simplifying
0.02(y + -9) = 0.05(6y + 1) + -0.79

Reorder the terms:
0.02(-9 + y) = 0.05(6y + 1) + -0.79
(-9 * 0.02 + y * 0.02) = 0.05(6y + 1) + -0.79
(-0.18 + 0.02y) = 0.05(6y + 1) + -0.79

Reorder the terms:
-0.18 + 0.02y = 0.05(1 + 6y) + -0.79
-0.18 + 0.02y = (1 * 0.05 + 6y * 0.05) + -0.79
-0.18 + 0.02y = (0.05 + 0.3y) + -0.79

Reorder the terms:
-0.18 + 0.02y = 0.05 + -0.79 + 0.3y

Combine like terms: 0.05 + -0.79 = -0.74
-0.18 + 0.02y = -0.74 + 0.3y

Solving
-0.18 + 0.02y = -0.74 + 0.3y

Solving for variable 'y'.

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

Add '-0.3y' to each side of the equation.
-0.18 + 0.02y + -0.3y = -0.74 + 0.3y + -0.3y

Combine like terms: 0.02y + -0.3y = -0.28y
-0.18 + -0.28y = -0.74 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
-0.18 + -0.28y = -0.74 + 0.0
-0.18 + -0.28y = -0.74

Add '0.18' to each side of the equation.
-0.18 + 0.18 + -0.28y = -0.74 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + -0.28y = -0.74 + 0.18
-0.28y = -0.74 + 0.18

Combine like terms: -0.74 + 0.18 = -0.56
-0.28y = -0.56

Divide each side by '-0.28'.
y = 2

Simplifying
y = 2

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