10(7-y)+4=-4(y-3)-7

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Solution for 10(7-y)+4=-4(y-3)-7 equation: 


Simplifying
10(7 + -1y) + 4 = -4(y + -3) + -7
(7 * 10 + -1y * 10) + 4 = -4(y + -3) + -7
(70 + -10y) + 4 = -4(y + -3) + -7

Reorder the terms:
70 + 4 + -10y = -4(y + -3) + -7

Combine like terms: 70 + 4 = 74
74 + -10y = -4(y + -3) + -7

Reorder the terms:
74 + -10y = -4(-3 + y) + -7
74 + -10y = (-3 * -4 + y * -4) + -7
74 + -10y = (12 + -4y) + -7

Reorder the terms:
74 + -10y = 12 + -7 + -4y

Combine like terms: 12 + -7 = 5
74 + -10y = 5 + -4y

Solving
74 + -10y = 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.
74 + -10y + 4y = 5 + -4y + 4y

Combine like terms: -10y + 4y = -6y
74 + -6y = 5 + -4y + 4y

Combine like terms: -4y + 4y = 0
74 + -6y = 5 + 0
74 + -6y = 5

Add '-74' to each side of the equation.
74 + -74 + -6y = 5 + -74

Combine like terms: 74 + -74 = 0
0 + -6y = 5 + -74
-6y = 5 + -74

Combine like terms: 5 + -74 = -69
-6y = -69

Divide each side by '-6'.
y = 11.5

Simplifying
y = 11.5

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