0.2(3y+2)=2.6y-1.6

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Solution for 0.2(3y+2)=2.6y-1.6 equation: 


Simplifying
0.2(3y + 2) = 2.6y + -1.6

Reorder the terms:
0.2(2 + 3y) = 2.6y + -1.6
(2 * 0.2 + 3y * 0.2) = 2.6y + -1.6
(0.4 + 0.6y) = 2.6y + -1.6

Reorder the terms:
0.4 + 0.6y = -1.6 + 2.6y

Solving
0.4 + 0.6y = -1.6 + 2.6y

Solving for variable 'y'.

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

Add '-2.6y' to each side of the equation.
0.4 + 0.6y + -2.6y = -1.6 + 2.6y + -2.6y

Combine like terms: 0.6y + -2.6y = -2y
0.4 + -2y = -1.6 + 2.6y + -2.6y

Combine like terms: 2.6y + -2.6y = 0.0
0.4 + -2y = -1.6 + 0.0
0.4 + -2y = -1.6

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -2y = -1.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -2y = -1.6 + -0.4
-2y = -1.6 + -0.4

Combine like terms: -1.6 + -0.4 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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