0.2y-0.9=7.7-0.5(3y+7)

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Solution for 0.2y-0.9=7.7-0.5(3y+7) equation: 


Simplifying
0.2y + -0.9 = 7.7 + -0.5(3y + 7)

Reorder the terms:
-0.9 + 0.2y = 7.7 + -0.5(3y + 7)

Reorder the terms:
-0.9 + 0.2y = 7.7 + -0.5(7 + 3y)
-0.9 + 0.2y = 7.7 + (7 * -0.5 + 3y * -0.5)
-0.9 + 0.2y = 7.7 + (-3.5 + -1.5y)

Combine like terms: 7.7 + -3.5 = 4.2
-0.9 + 0.2y = 4.2 + -1.5y

Solving
-0.9 + 0.2y = 4.2 + -1.5y

Solving for variable 'y'.

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

Add '1.5y' to each side of the equation.
-0.9 + 0.2y + 1.5y = 4.2 + -1.5y + 1.5y

Combine like terms: 0.2y + 1.5y = 1.7y
-0.9 + 1.7y = 4.2 + -1.5y + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
-0.9 + 1.7y = 4.2 + 0.0
-0.9 + 1.7y = 4.2

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 1.7y = 4.2 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 1.7y = 4.2 + 0.9
1.7y = 4.2 + 0.9

Combine like terms: 4.2 + 0.9 = 5.1
1.7y = 5.1

Divide each side by '1.7'.
y = 3

Simplifying
y = 3

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