5(y+4)-8(5-y)=-33

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Solution for 5(y+4)-8(5-y)=-33 equation: 


Simplifying
5(y + 4) + -8(5 + -1y) = -33

Reorder the terms:
5(4 + y) + -8(5 + -1y) = -33
(4 * 5 + y * 5) + -8(5 + -1y) = -33
(20 + 5y) + -8(5 + -1y) = -33
20 + 5y + (5 * -8 + -1y * -8) = -33
20 + 5y + (-40 + 8y) = -33

Reorder the terms:
20 + -40 + 5y + 8y = -33

Combine like terms: 20 + -40 = -20
-20 + 5y + 8y = -33

Combine like terms: 5y + 8y = 13y
-20 + 13y = -33

Solving
-20 + 13y = -33

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + 13y = -33 + 20

Combine like terms: -20 + 20 = 0
0 + 13y = -33 + 20
13y = -33 + 20

Combine like terms: -33 + 20 = -13
13y = -13

Divide each side by '13'.
y = -1

Simplifying
y = -1

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