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

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


Simplifying
4(3y + 5) = 3(5y + -3)

Reorder the terms:
4(5 + 3y) = 3(5y + -3)
(5 * 4 + 3y * 4) = 3(5y + -3)
(20 + 12y) = 3(5y + -3)

Reorder the terms:
20 + 12y = 3(-3 + 5y)
20 + 12y = (-3 * 3 + 5y * 3)
20 + 12y = (-9 + 15y)

Solving
20 + 12y = -9 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
20 + 12y + -15y = -9 + 15y + -15y

Combine like terms: 12y + -15y = -3y
20 + -3y = -9 + 15y + -15y

Combine like terms: 15y + -15y = 0
20 + -3y = -9 + 0
20 + -3y = -9

Add '-20' to each side of the equation.
20 + -20 + -3y = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -9 + -20
-3y = -9 + -20

Combine like terms: -9 + -20 = -29
-3y = -29

Divide each side by '-3'.
y = 9.666666667

Simplifying
y = 9.666666667

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