-5(3y+1)-16=-9(y+4)+3

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Solution for -5(3y+1)-16=-9(y+4)+3 equation:


Simplifying
-5(3y + 1) + -16 = -9(y + 4) + 3

Reorder the terms:
-5(1 + 3y) + -16 = -9(y + 4) + 3
(1 * -5 + 3y * -5) + -16 = -9(y + 4) + 3
(-5 + -15y) + -16 = -9(y + 4) + 3

Reorder the terms:
-5 + -16 + -15y = -9(y + 4) + 3

Combine like terms: -5 + -16 = -21
-21 + -15y = -9(y + 4) + 3

Reorder the terms:
-21 + -15y = -9(4 + y) + 3
-21 + -15y = (4 * -9 + y * -9) + 3
-21 + -15y = (-36 + -9y) + 3

Reorder the terms:
-21 + -15y = -36 + 3 + -9y

Combine like terms: -36 + 3 = -33
-21 + -15y = -33 + -9y

Solving
-21 + -15y = -33 + -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.
-21 + -15y + 9y = -33 + -9y + 9y

Combine like terms: -15y + 9y = -6y
-21 + -6y = -33 + -9y + 9y

Combine like terms: -9y + 9y = 0
-21 + -6y = -33 + 0
-21 + -6y = -33

Add '21' to each side of the equation.
-21 + 21 + -6y = -33 + 21

Combine like terms: -21 + 21 = 0
0 + -6y = -33 + 21
-6y = -33 + 21

Combine like terms: -33 + 21 = -12
-6y = -12

Divide each side by '-6'.
y = 2

Simplifying
y = 2

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