2y+3y-4=5y+6y-16

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Solution for 2y+3y-4=5y+6y-16 equation:


Simplifying
2y + 3y + -4 = 5y + 6y + -16

Reorder the terms:
-4 + 2y + 3y = 5y + 6y + -16

Combine like terms: 2y + 3y = 5y
-4 + 5y = 5y + 6y + -16

Reorder the terms:
-4 + 5y = -16 + 5y + 6y

Combine like terms: 5y + 6y = 11y
-4 + 5y = -16 + 11y

Solving
-4 + 5y = -16 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-4 + 5y + -11y = -16 + 11y + -11y

Combine like terms: 5y + -11y = -6y
-4 + -6y = -16 + 11y + -11y

Combine like terms: 11y + -11y = 0
-4 + -6y = -16 + 0
-4 + -6y = -16

Add '4' to each side of the equation.
-4 + 4 + -6y = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -6y = -16 + 4
-6y = -16 + 4

Combine like terms: -16 + 4 = -12
-6y = -12

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

Simplifying
y = 2

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