6(5-y)+4=-4(y-3)-7

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Solution for 6(5-y)+4=-4(y-3)-7 equation: 


Simplifying
6(5 + -1y) + 4 = -4(y + -3) + -7
(5 * 6 + -1y * 6) + 4 = -4(y + -3) + -7
(30 + -6y) + 4 = -4(y + -3) + -7

Reorder the terms:
30 + 4 + -6y = -4(y + -3) + -7

Combine like terms: 30 + 4 = 34
34 + -6y = -4(y + -3) + -7

Reorder the terms:
34 + -6y = -4(-3 + y) + -7
34 + -6y = (-3 * -4 + y * -4) + -7
34 + -6y = (12 + -4y) + -7

Reorder the terms:
34 + -6y = 12 + -7 + -4y

Combine like terms: 12 + -7 = 5
34 + -6y = 5 + -4y

Solving
34 + -6y = 5 + -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.
34 + -6y + 4y = 5 + -4y + 4y

Combine like terms: -6y + 4y = -2y
34 + -2y = 5 + -4y + 4y

Combine like terms: -4y + 4y = 0
34 + -2y = 5 + 0
34 + -2y = 5

Add '-34' to each side of the equation.
34 + -34 + -2y = 5 + -34

Combine like terms: 34 + -34 = 0
0 + -2y = 5 + -34
-2y = 5 + -34

Combine like terms: 5 + -34 = -29
-2y = -29

Divide each side by '-2'.
y = 14.5

Simplifying
y = 14.5

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