0.2(3y-5)=0.15(2y-13)-0.85

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Solution for 0.2(3y-5)=0.15(2y-13)-0.85 equation: 


Simplifying
0.2(3y + -5) = 0.15(2y + -13) + -0.85

Reorder the terms:
0.2(-5 + 3y) = 0.15(2y + -13) + -0.85
(-5 * 0.2 + 3y * 0.2) = 0.15(2y + -13) + -0.85
(-1 + 0.6y) = 0.15(2y + -13) + -0.85

Reorder the terms:
-1 + 0.6y = 0.15(-13 + 2y) + -0.85
-1 + 0.6y = (-13 * 0.15 + 2y * 0.15) + -0.85
-1 + 0.6y = (-1.95 + 0.3y) + -0.85

Reorder the terms:
-1 + 0.6y = -1.95 + -0.85 + 0.3y

Combine like terms: -1.95 + -0.85 = -2.8
-1 + 0.6y = -2.8 + 0.3y

Solving
-1 + 0.6y = -2.8 + 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.
-1 + 0.6y + -0.3y = -2.8 + 0.3y + -0.3y

Combine like terms: 0.6y + -0.3y = 0.3y
-1 + 0.3y = -2.8 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
-1 + 0.3y = -2.8 + 0.0
-1 + 0.3y = -2.8

Add '1' to each side of the equation.
-1 + 1 + 0.3y = -2.8 + 1

Combine like terms: -1 + 1 = 0
0 + 0.3y = -2.8 + 1
0.3y = -2.8 + 1

Combine like terms: -2.8 + 1 = -1.8
0.3y = -1.8

Divide each side by '0.3'.
y = -6

Simplifying
y = -6

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