-2.6(y+14)=0.5(y-17)

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Solution for -2.6(y+14)=0.5(y-17) equation:


Simplifying
-2.6(y + 14) = 0.5(y + -17)

Reorder the terms:
-2.6(14 + y) = 0.5(y + -17)
(14 * -2.6 + y * -2.6) = 0.5(y + -17)
(-36.4 + -2.6y) = 0.5(y + -17)

Reorder the terms:
-36.4 + -2.6y = 0.5(-17 + y)
-36.4 + -2.6y = (-17 * 0.5 + y * 0.5)
-36.4 + -2.6y = (-8.5 + 0.5y)

Solving
-36.4 + -2.6y = -8.5 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
-36.4 + -2.6y + -0.5y = -8.5 + 0.5y + -0.5y

Combine like terms: -2.6y + -0.5y = -3.1y
-36.4 + -3.1y = -8.5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-36.4 + -3.1y = -8.5 + 0.0
-36.4 + -3.1y = -8.5

Add '36.4' to each side of the equation.
-36.4 + 36.4 + -3.1y = -8.5 + 36.4

Combine like terms: -36.4 + 36.4 = 0.0
0.0 + -3.1y = -8.5 + 36.4
-3.1y = -8.5 + 36.4

Combine like terms: -8.5 + 36.4 = 27.9
-3.1y = 27.9

Divide each side by '-3.1'.
y = -9

Simplifying
y = -9

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