10y+47=4y+7

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Solution for 10y+47=4y+7 equation:


Simplifying
10y + 47 = 4y + 7

Reorder the terms:
47 + 10y = 4y + 7

Reorder the terms:
47 + 10y = 7 + 4y

Solving
47 + 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.
47 + 10y + -4y = 7 + 4y + -4y

Combine like terms: 10y + -4y = 6y
47 + 6y = 7 + 4y + -4y

Combine like terms: 4y + -4y = 0
47 + 6y = 7 + 0
47 + 6y = 7

Add '-47' to each side of the equation.
47 + -47 + 6y = 7 + -47

Combine like terms: 47 + -47 = 0
0 + 6y = 7 + -47
6y = 7 + -47

Combine like terms: 7 + -47 = -40
6y = -40

Divide each side by '6'.
y = -6.666666667

Simplifying
y = -6.666666667

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