-76+14y+4=5(4y-3)-3

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Solution for -76+14y+4=5(4y-3)-3 equation:


Simplifying
-76 + 14y + 4 = 5(4y + -3) + -3

Reorder the terms:
-76 + 4 + 14y = 5(4y + -3) + -3

Combine like terms: -76 + 4 = -72
-72 + 14y = 5(4y + -3) + -3

Reorder the terms:
-72 + 14y = 5(-3 + 4y) + -3
-72 + 14y = (-3 * 5 + 4y * 5) + -3
-72 + 14y = (-15 + 20y) + -3

Reorder the terms:
-72 + 14y = -15 + -3 + 20y

Combine like terms: -15 + -3 = -18
-72 + 14y = -18 + 20y

Solving
-72 + 14y = -18 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-72 + 14y + -20y = -18 + 20y + -20y

Combine like terms: 14y + -20y = -6y
-72 + -6y = -18 + 20y + -20y

Combine like terms: 20y + -20y = 0
-72 + -6y = -18 + 0
-72 + -6y = -18

Add '72' to each side of the equation.
-72 + 72 + -6y = -18 + 72

Combine like terms: -72 + 72 = 0
0 + -6y = -18 + 72
-6y = -18 + 72

Combine like terms: -18 + 72 = 54
-6y = 54

Divide each side by '-6'.
y = -9

Simplifying
y = -9

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