4(2y+5)=3y+80

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Solution for 4(2y+5)=3y+80 equation:


Simplifying
4(2y + 5) = 3y + 80

Reorder the terms:
4(5 + 2y) = 3y + 80
(5 * 4 + 2y * 4) = 3y + 80
(20 + 8y) = 3y + 80

Reorder the terms:
20 + 8y = 80 + 3y

Solving
20 + 8y = 80 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
20 + 8y + -3y = 80 + 3y + -3y

Combine like terms: 8y + -3y = 5y
20 + 5y = 80 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 5y = 80 + 0
20 + 5y = 80

Add '-20' to each side of the equation.
20 + -20 + 5y = 80 + -20

Combine like terms: 20 + -20 = 0
0 + 5y = 80 + -20
5y = 80 + -20

Combine like terms: 80 + -20 = 60
5y = 60

Divide each side by '5'.
y = 12

Simplifying
y = 12

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