3y-4+5y-10=4y-6

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Solution for 3y-4+5y-10=4y-6 equation:


Simplifying
3y + -4 + 5y + -10 = 4y + -6

Reorder the terms:
-4 + -10 + 3y + 5y = 4y + -6

Combine like terms: -4 + -10 = -14
-14 + 3y + 5y = 4y + -6

Combine like terms: 3y + 5y = 8y
-14 + 8y = 4y + -6

Reorder the terms:
-14 + 8y = -6 + 4y

Solving
-14 + 8y = -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.
-14 + 8y + -4y = -6 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-14 + 4y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-14 + 4y = -6 + 0
-14 + 4y = -6

Add '14' to each side of the equation.
-14 + 14 + 4y = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 4y = -6 + 14
4y = -6 + 14

Combine like terms: -6 + 14 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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