16y-4=38y+84

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Solution for 16y-4=38y+84 equation:


Simplifying
16y + -4 = 38y + 84

Reorder the terms:
-4 + 16y = 38y + 84

Reorder the terms:
-4 + 16y = 84 + 38y

Solving
-4 + 16y = 84 + 38y

Solving for variable 'y'.

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

Add '-38y' to each side of the equation.
-4 + 16y + -38y = 84 + 38y + -38y

Combine like terms: 16y + -38y = -22y
-4 + -22y = 84 + 38y + -38y

Combine like terms: 38y + -38y = 0
-4 + -22y = 84 + 0
-4 + -22y = 84

Add '4' to each side of the equation.
-4 + 4 + -22y = 84 + 4

Combine like terms: -4 + 4 = 0
0 + -22y = 84 + 4
-22y = 84 + 4

Combine like terms: 84 + 4 = 88
-22y = 88

Divide each side by '-22'.
y = -4

Simplifying
y = -4

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