3y+4=5y-6

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


Simplifying
3y + 4 = 5y + -6

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

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

Solving
4 + 3y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
4 + 3y + -5y = -6 + 5y + -5y

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

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

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

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

Combine like terms: -6 + -4 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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