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

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


Simplifying
4(5 + 2y) + -5 = 3(3y + 7)
(5 * 4 + 2y * 4) + -5 = 3(3y + 7)
(20 + 8y) + -5 = 3(3y + 7)

Reorder the terms:
20 + -5 + 8y = 3(3y + 7)

Combine like terms: 20 + -5 = 15
15 + 8y = 3(3y + 7)

Reorder the terms:
15 + 8y = 3(7 + 3y)
15 + 8y = (7 * 3 + 3y * 3)
15 + 8y = (21 + 9y)

Solving
15 + 8y = 21 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
15 + 8y + -9y = 21 + 9y + -9y

Combine like terms: 8y + -9y = -1y
15 + -1y = 21 + 9y + -9y

Combine like terms: 9y + -9y = 0
15 + -1y = 21 + 0
15 + -1y = 21

Add '-15' to each side of the equation.
15 + -15 + -1y = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = 21 + -15
-1y = 21 + -15

Combine like terms: 21 + -15 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6

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