7y-28=4y-10

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Solution for 7y-28=4y-10 equation:


Simplifying
7y + -28 = 4y + -10

Reorder the terms:
-28 + 7y = 4y + -10

Reorder the terms:
-28 + 7y = -10 + 4y

Solving
-28 + 7y = -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.
-28 + 7y + -4y = -10 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-28 + 3y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-28 + 3y = -10 + 0
-28 + 3y = -10

Add '28' to each side of the equation.
-28 + 28 + 3y = -10 + 28

Combine like terms: -28 + 28 = 0
0 + 3y = -10 + 28
3y = -10 + 28

Combine like terms: -10 + 28 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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