4y-16=9y+200

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Solution for 4y-16=9y+200 equation:


Simplifying
4y + -16 = 9y + 200

Reorder the terms:
-16 + 4y = 9y + 200

Reorder the terms:
-16 + 4y = 200 + 9y

Solving
-16 + 4y = 200 + 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.
-16 + 4y + -9y = 200 + 9y + -9y

Combine like terms: 4y + -9y = -5y
-16 + -5y = 200 + 9y + -9y

Combine like terms: 9y + -9y = 0
-16 + -5y = 200 + 0
-16 + -5y = 200

Add '16' to each side of the equation.
-16 + 16 + -5y = 200 + 16

Combine like terms: -16 + 16 = 0
0 + -5y = 200 + 16
-5y = 200 + 16

Combine like terms: 200 + 16 = 216
-5y = 216

Divide each side by '-5'.
y = -43.2

Simplifying
y = -43.2

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