7+0.6(7-y)=1.9y-9(y-0.2)

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Solution for 7+0.6(7-y)=1.9y-9(y-0.2) equation:


Simplifying
7 + 0.6(7 + -1y) = 1.9y + -9(y + -0.2)
7 + (7 * 0.6 + -1y * 0.6) = 1.9y + -9(y + -0.2)
7 + (4.2 + -0.6y) = 1.9y + -9(y + -0.2)

Combine like terms: 7 + 4.2 = 11.2
11.2 + -0.6y = 1.9y + -9(y + -0.2)

Reorder the terms:
11.2 + -0.6y = 1.9y + -9(-0.2 + y)
11.2 + -0.6y = 1.9y + (-0.2 * -9 + y * -9)
11.2 + -0.6y = 1.9y + (1.8 + -9y)

Reorder the terms:
11.2 + -0.6y = 1.8 + 1.9y + -9y

Combine like terms: 1.9y + -9y = -7.1y
11.2 + -0.6y = 1.8 + -7.1y

Solving
11.2 + -0.6y = 1.8 + -7.1y

Solving for variable 'y'.

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

Add '7.1y' to each side of the equation.
11.2 + -0.6y + 7.1y = 1.8 + -7.1y + 7.1y

Combine like terms: -0.6y + 7.1y = 6.5y
11.2 + 6.5y = 1.8 + -7.1y + 7.1y

Combine like terms: -7.1y + 7.1y = 0.0
11.2 + 6.5y = 1.8 + 0.0
11.2 + 6.5y = 1.8

Add '-11.2' to each side of the equation.
11.2 + -11.2 + 6.5y = 1.8 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + 6.5y = 1.8 + -11.2
6.5y = 1.8 + -11.2

Combine like terms: 1.8 + -11.2 = -9.4
6.5y = -9.4

Divide each side by '6.5'.
y = -1.446153846

Simplifying
y = -1.446153846

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