3(8y+5)-2(2y)=57

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Solution for 3(8y+5)-2(2y)=57 equation: 


Simplifying
3(8y + 5) + -2(2y) = 57

Reorder the terms:
3(5 + 8y) + -2(2y) = 57
(5 * 3 + 8y * 3) + -2(2y) = 57
(15 + 24y) + -2(2y) = 57

Remove parenthesis around (2y)
15 + 24y + -2 * 2y = 57

Multiply -2 * 2
15 + 24y + -4y = 57

Combine like terms: 24y + -4y = 20y
15 + 20y = 57

Solving
15 + 20y = 57

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 20y = 57 + -15

Combine like terms: 15 + -15 = 0
0 + 20y = 57 + -15
20y = 57 + -15

Combine like terms: 57 + -15 = 42
20y = 42

Divide each side by '20'.
y = 2.1

Simplifying
y = 2.1

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