1.3(y+9)=-2.2(y+16)

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Solution for 1.3(y+9)=-2.2(y+16) equation: 


Simplifying
1.3(y + 9) = -2.2(y + 16)

Reorder the terms:
1.3(9 + y) = -2.2(y + 16)
(9 * 1.3 + y * 1.3) = -2.2(y + 16)
(11.7 + 1.3y) = -2.2(y + 16)

Reorder the terms:
11.7 + 1.3y = -2.2(16 + y)
11.7 + 1.3y = (16 * -2.2 + y * -2.2)
11.7 + 1.3y = (-35.2 + -2.2y)

Solving
11.7 + 1.3y = -35.2 + -2.2y

Solving for variable 'y'.

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

Add '2.2y' to each side of the equation.
11.7 + 1.3y + 2.2y = -35.2 + -2.2y + 2.2y

Combine like terms: 1.3y + 2.2y = 3.5y
11.7 + 3.5y = -35.2 + -2.2y + 2.2y

Combine like terms: -2.2y + 2.2y = 0.0
11.7 + 3.5y = -35.2 + 0.0
11.7 + 3.5y = -35.2

Add '-11.7' to each side of the equation.
11.7 + -11.7 + 3.5y = -35.2 + -11.7

Combine like terms: 11.7 + -11.7 = 0.0
0.0 + 3.5y = -35.2 + -11.7
3.5y = -35.2 + -11.7

Combine like terms: -35.2 + -11.7 = -46.9
3.5y = -46.9

Divide each side by '3.5'.
y = -13.4

Simplifying
y = -13.4

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