1.8(y+6)-(7.1+0.8y)=-4+2

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Solution for 1.8(y+6)-(7.1+0.8y)=-4+2 equation: 


Simplifying
1.8(y + 6) + -1(7.1 + 0.8y) = -4 + 2

Reorder the terms:
1.8(6 + y) + -1(7.1 + 0.8y) = -4 + 2
(6 * 1.8 + y * 1.8) + -1(7.1 + 0.8y) = -4 + 2
(10.8 + 1.8y) + -1(7.1 + 0.8y) = -4 + 2
10.8 + 1.8y + (7.1 * -1 + 0.8y * -1) = -4 + 2
10.8 + 1.8y + (-7.1 + -0.8y) = -4 + 2

Reorder the terms:
10.8 + -7.1 + 1.8y + -0.8y = -4 + 2

Combine like terms: 10.8 + -7.1 = 3.7
3.7 + 1.8y + -0.8y = -4 + 2

Combine like terms: 1.8y + -0.8y = 1y
3.7 + 1y = -4 + 2

Combine like terms: -4 + 2 = -2
3.7 + 1y = -2

Solving
3.7 + 1y = -2

Solving for variable 'y'.

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

Add '-3.7' to each side of the equation.
3.7 + -3.7 + 1y = -2 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 1y = -2 + -3.7
1y = -2 + -3.7

Combine like terms: -2 + -3.7 = -5.7
1y = -5.7

Divide each side by '1'.
y = -5.7

Simplifying
y = -5.7

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