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

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


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

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

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

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

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

Combine like terms: -7y + 7y = 0
10 + 3y = 28 + 0
10 + 3y = 28

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

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

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

Divide each side by '3'.
y = 6

Simplifying
y = 6

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