4(3y+4)=15(y+2)

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Solution for 4(3y+4)=15(y+2) equation: 


Simplifying
4(3y + 4) = 15(y + 2)

Reorder the terms:
4(4 + 3y) = 15(y + 2)
(4 * 4 + 3y * 4) = 15(y + 2)
(16 + 12y) = 15(y + 2)

Reorder the terms:
16 + 12y = 15(2 + y)
16 + 12y = (2 * 15 + y * 15)
16 + 12y = (30 + 15y)

Solving
16 + 12y = 30 + 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.
16 + 12y + -15y = 30 + 15y + -15y

Combine like terms: 12y + -15y = -3y
16 + -3y = 30 + 15y + -15y

Combine like terms: 15y + -15y = 0
16 + -3y = 30 + 0
16 + -3y = 30

Add '-16' to each side of the equation.
16 + -16 + -3y = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 30 + -16
-3y = 30 + -16

Combine like terms: 30 + -16 = 14
-3y = 14

Divide each side by '-3'.
y = -4.666666667

Simplifying
y = -4.666666667

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