7-(3.1-0.1y)=3-0.2y

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Solution for 7-(3.1-0.1y)=3-0.2y equation:


Simplifying
7 + -1(3.1 + -0.1y) = 3 + -0.2y
7 + (3.1 * -1 + -0.1y * -1) = 3 + -0.2y
7 + (-3.1 + 0.1y) = 3 + -0.2y

Combine like terms: 7 + -3.1 = 3.9
3.9 + 0.1y = 3 + -0.2y

Solving
3.9 + 0.1y = 3 + -0.2y

Solving for variable 'y'.

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

Add '0.2y' to each side of the equation.
3.9 + 0.1y + 0.2y = 3 + -0.2y + 0.2y

Combine like terms: 0.1y + 0.2y = 0.3y
3.9 + 0.3y = 3 + -0.2y + 0.2y

Combine like terms: -0.2y + 0.2y = 0.0
3.9 + 0.3y = 3 + 0.0
3.9 + 0.3y = 3

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 0.3y = 3 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 0.3y = 3 + -3.9
0.3y = 3 + -3.9

Combine like terms: 3 + -3.9 = -0.9
0.3y = -0.9

Divide each side by '0.3'.
y = -3

Simplifying
y = -3

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