10=4(y+4)-7y

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Solution for 10=4(y+4)-7y equation:


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

Reorder the terms:
10 = 4(4 + y) + -7y
10 = (4 * 4 + y * 4) + -7y
10 = (16 + 4y) + -7y

Combine like terms: 4y + -7y = -3y
10 = 16 + -3y

Solving
10 = 16 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
10 + 3y = 16 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + 3y = 16 + 0
10 + 3y = 16

Add '-10' to each side of the equation.
10 + -10 + 3y = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 16 + -10
3y = 16 + -10

Combine like terms: 16 + -10 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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