1.7(y+1)=-1.1(y-20)

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Solution for 1.7(y+1)=-1.1(y-20) equation:


Simplifying
1.7(y + 1) = -1.1(y + -20)

Reorder the terms:
1.7(1 + y) = -1.1(y + -20)
(1 * 1.7 + y * 1.7) = -1.1(y + -20)
(1.7 + 1.7y) = -1.1(y + -20)

Reorder the terms:
1.7 + 1.7y = -1.1(-20 + y)
1.7 + 1.7y = (-20 * -1.1 + y * -1.1)
1.7 + 1.7y = (22 + -1.1y)

Solving
1.7 + 1.7y = 22 + -1.1y

Solving for variable 'y'.

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

Add '1.1y' to each side of the equation.
1.7 + 1.7y + 1.1y = 22 + -1.1y + 1.1y

Combine like terms: 1.7y + 1.1y = 2.8y
1.7 + 2.8y = 22 + -1.1y + 1.1y

Combine like terms: -1.1y + 1.1y = 0.0
1.7 + 2.8y = 22 + 0.0
1.7 + 2.8y = 22

Add '-1.7' to each side of the equation.
1.7 + -1.7 + 2.8y = 22 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + 2.8y = 22 + -1.7
2.8y = 22 + -1.7

Combine like terms: 22 + -1.7 = 20.3
2.8y = 20.3

Divide each side by '2.8'.
y = 7.25

Simplifying
y = 7.25

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