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

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


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

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

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

Solving
12 + 20y = -15 + 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.
12 + 20y + -9y = -15 + 9y + -9y

Combine like terms: 20y + -9y = 11y
12 + 11y = -15 + 9y + -9y

Combine like terms: 9y + -9y = 0
12 + 11y = -15 + 0
12 + 11y = -15

Add '-12' to each side of the equation.
12 + -12 + 11y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 11y = -15 + -12
11y = -15 + -12

Combine like terms: -15 + -12 = -27
11y = -27

Divide each side by '11'.
y = -2.454545455

Simplifying
y = -2.454545455

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