10y-4=4y-7

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


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

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

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

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

Combine like terms: 10y + -4y = 6y
-4 + 6y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-4 + 6y = -7 + 0
-4 + 6y = -7

Add '4' to each side of the equation.
-4 + 4 + 6y = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = -7 + 4
6y = -7 + 4

Combine like terms: -7 + 4 = -3
6y = -3

Divide each side by '6'.
y = -0.5

Simplifying
y = -0.5

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