9(y-4)+8(y+1)=57

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Solution for 9(y-4)+8(y+1)=57 equation: 


Simplifying
9(y + -4) + 8(y + 1) = 57

Reorder the terms:
9(-4 + y) + 8(y + 1) = 57
(-4 * 9 + y * 9) + 8(y + 1) = 57
(-36 + 9y) + 8(y + 1) = 57

Reorder the terms:
-36 + 9y + 8(1 + y) = 57
-36 + 9y + (1 * 8 + y * 8) = 57
-36 + 9y + (8 + 8y) = 57

Reorder the terms:
-36 + 8 + 9y + 8y = 57

Combine like terms: -36 + 8 = -28
-28 + 9y + 8y = 57

Combine like terms: 9y + 8y = 17y
-28 + 17y = 57

Solving
-28 + 17y = 57

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + 17y = 57 + 28

Combine like terms: -28 + 28 = 0
0 + 17y = 57 + 28
17y = 57 + 28

Combine like terms: 57 + 28 = 85
17y = 85

Divide each side by '17'.
y = 5

Simplifying
y = 5

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