1.2-0.6+3(2y+0.3)=2y+0.5

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Solution for 1.2-0.6+3(2y+0.3)=2y+0.5 equation: 


Simplifying
1.2 + -0.6 + 3(2y + 0.3) = 2y + 0.5

Reorder the terms:
1.2 + -0.6 + 3(0.3 + 2y) = 2y + 0.5
1.2 + -0.6 + (0.3 * 3 + 2y * 3) = 2y + 0.5
1.2 + -0.6 + (0.9 + 6y) = 2y + 0.5

Combine like terms: 1.2 + -0.6 = 0.6
0.6 + 0.9 + 6y = 2y + 0.5

Combine like terms: 0.6 + 0.9 = 1.5
1.5 + 6y = 2y + 0.5

Reorder the terms:
1.5 + 6y = 0.5 + 2y

Solving
1.5 + 6y = 0.5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
1.5 + 6y + -2y = 0.5 + 2y + -2y

Combine like terms: 6y + -2y = 4y
1.5 + 4y = 0.5 + 2y + -2y

Combine like terms: 2y + -2y = 0
1.5 + 4y = 0.5 + 0
1.5 + 4y = 0.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 4y = 0.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 4y = 0.5 + -1.5
4y = 0.5 + -1.5

Combine like terms: 0.5 + -1.5 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25

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