2y-5=4y+6

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


Simplifying
2y + -5 = 4y + 6

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

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

Solving
-5 + 2y = 6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + 2y + -4y = 6 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-5 + -2y = 6 + 0
-5 + -2y = 6

Add '5' to each side of the equation.
-5 + 5 + -2y = 6 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 6 + 5
-2y = 6 + 5

Combine like terms: 6 + 5 = 11
-2y = 11

Divide each side by '-2'.
y = -5.5

Simplifying
y = -5.5

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