10y-2=7y-7.4

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Solution for 10y-2=7y-7.4 equation:


Simplifying
10y + -2 = 7y + -7.4

Reorder the terms:
-2 + 10y = 7y + -7.4

Reorder the terms:
-2 + 10y = -7.4 + 7y

Solving
-2 + 10y = -7.4 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-2 + 10y + -7y = -7.4 + 7y + -7y

Combine like terms: 10y + -7y = 3y
-2 + 3y = -7.4 + 7y + -7y

Combine like terms: 7y + -7y = 0
-2 + 3y = -7.4 + 0
-2 + 3y = -7.4

Add '2' to each side of the equation.
-2 + 2 + 3y = -7.4 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = -7.4 + 2
3y = -7.4 + 2

Combine like terms: -7.4 + 2 = -5.4
3y = -5.4

Divide each side by '3'.
y = -1.8

Simplifying
y = -1.8

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