5(4y+7)-3(2y-8)=

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Solution for 5(4y+7)-3(2y-8)= equation:


Simplifying
5(4y + 7) + -3(2y + -8) = 0

Reorder the terms:
5(7 + 4y) + -3(2y + -8) = 0
(7 * 5 + 4y * 5) + -3(2y + -8) = 0
(35 + 20y) + -3(2y + -8) = 0

Reorder the terms:
35 + 20y + -3(-8 + 2y) = 0
35 + 20y + (-8 * -3 + 2y * -3) = 0
35 + 20y + (24 + -6y) = 0

Reorder the terms:
35 + 24 + 20y + -6y = 0

Combine like terms: 35 + 24 = 59
59 + 20y + -6y = 0

Combine like terms: 20y + -6y = 14y
59 + 14y = 0

Solving
59 + 14y = 0

Solving for variable 'y'.

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

Add '-59' to each side of the equation.
59 + -59 + 14y = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 14y = 0 + -59
14y = 0 + -59

Combine like terms: 0 + -59 = -59
14y = -59

Divide each side by '14'.
y = -4.214285714

Simplifying
y = -4.214285714

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