4(10y+15)-5=-5(4y-16)

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Solution for 4(10y+15)-5=-5(4y-16) equation:


Simplifying
4(10y + 15) + -5 = -5(4y + -16)

Reorder the terms:
4(15 + 10y) + -5 = -5(4y + -16)
(15 * 4 + 10y * 4) + -5 = -5(4y + -16)
(60 + 40y) + -5 = -5(4y + -16)

Reorder the terms:
60 + -5 + 40y = -5(4y + -16)

Combine like terms: 60 + -5 = 55
55 + 40y = -5(4y + -16)

Reorder the terms:
55 + 40y = -5(-16 + 4y)
55 + 40y = (-16 * -5 + 4y * -5)
55 + 40y = (80 + -20y)

Solving
55 + 40y = 80 + -20y

Solving for variable 'y'.

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

Add '20y' to each side of the equation.
55 + 40y + 20y = 80 + -20y + 20y

Combine like terms: 40y + 20y = 60y
55 + 60y = 80 + -20y + 20y

Combine like terms: -20y + 20y = 0
55 + 60y = 80 + 0
55 + 60y = 80

Add '-55' to each side of the equation.
55 + -55 + 60y = 80 + -55

Combine like terms: 55 + -55 = 0
0 + 60y = 80 + -55
60y = 80 + -55

Combine like terms: 80 + -55 = 25
60y = 25

Divide each side by '60'.
y = 0.4166666667

Simplifying
y = 0.4166666667

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