6y-42=4y-10

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Solution for 6y-42=4y-10 equation: 


Simplifying
6y + -42 = 4y + -10

Reorder the terms:
-42 + 6y = 4y + -10

Reorder the terms:
-42 + 6y = -10 + 4y

Solving
-42 + 6y = -10 + 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.
-42 + 6y + -4y = -10 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-42 + 2y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-42 + 2y = -10 + 0
-42 + 2y = -10

Add '42' to each side of the equation.
-42 + 42 + 2y = -10 + 42

Combine like terms: -42 + 42 = 0
0 + 2y = -10 + 42
2y = -10 + 42

Combine like terms: -10 + 42 = 32
2y = 32

Divide each side by '2'.
y = 16

Simplifying
y = 16

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