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

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


Simplifying
7(10 + -1y) + 4 = -4(y + -4) + -7
(10 * 7 + -1y * 7) + 4 = -4(y + -4) + -7
(70 + -7y) + 4 = -4(y + -4) + -7

Reorder the terms:
70 + 4 + -7y = -4(y + -4) + -7

Combine like terms: 70 + 4 = 74
74 + -7y = -4(y + -4) + -7

Reorder the terms:
74 + -7y = -4(-4 + y) + -7
74 + -7y = (-4 * -4 + y * -4) + -7
74 + -7y = (16 + -4y) + -7

Reorder the terms:
74 + -7y = 16 + -7 + -4y

Combine like terms: 16 + -7 = 9
74 + -7y = 9 + -4y

Solving
74 + -7y = 9 + -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.
74 + -7y + 4y = 9 + -4y + 4y

Combine like terms: -7y + 4y = -3y
74 + -3y = 9 + -4y + 4y

Combine like terms: -4y + 4y = 0
74 + -3y = 9 + 0
74 + -3y = 9

Add '-74' to each side of the equation.
74 + -74 + -3y = 9 + -74

Combine like terms: 74 + -74 = 0
0 + -3y = 9 + -74
-3y = 9 + -74

Combine like terms: 9 + -74 = -65
-3y = -65

Divide each side by '-3'.
y = 21.66666667

Simplifying
y = 21.66666667

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