5(2-3y)+3(8y)=-17

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Solution for 5(2-3y)+3(8y)=-17 equation:


Simplifying
5(2 + -3y) + 3(8y) = -17
(2 * 5 + -3y * 5) + 3(8y) = -17
(10 + -15y) + 3(8y) = -17

Remove parenthesis around (8y)
10 + -15y + 3 * 8y = -17

Multiply 3 * 8
10 + -15y + 24y = -17

Combine like terms: -15y + 24y = 9y
10 + 9y = -17

Solving
10 + 9y = -17

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 9y = -17 + -10

Combine like terms: 10 + -10 = 0
0 + 9y = -17 + -10
9y = -17 + -10

Combine like terms: -17 + -10 = -27
9y = -27

Divide each side by '9'.
y = -3

Simplifying
y = -3

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