10(4-y)+6=-6(y-3)-5

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Solution for 10(4-y)+6=-6(y-3)-5 equation: 


Simplifying
10(4 + -1y) + 6 = -6(y + -3) + -5
(4 * 10 + -1y * 10) + 6 = -6(y + -3) + -5
(40 + -10y) + 6 = -6(y + -3) + -5

Reorder the terms:
40 + 6 + -10y = -6(y + -3) + -5

Combine like terms: 40 + 6 = 46
46 + -10y = -6(y + -3) + -5

Reorder the terms:
46 + -10y = -6(-3 + y) + -5
46 + -10y = (-3 * -6 + y * -6) + -5
46 + -10y = (18 + -6y) + -5

Reorder the terms:
46 + -10y = 18 + -5 + -6y

Combine like terms: 18 + -5 = 13
46 + -10y = 13 + -6y

Solving
46 + -10y = 13 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
46 + -10y + 6y = 13 + -6y + 6y

Combine like terms: -10y + 6y = -4y
46 + -4y = 13 + -6y + 6y

Combine like terms: -6y + 6y = 0
46 + -4y = 13 + 0
46 + -4y = 13

Add '-46' to each side of the equation.
46 + -46 + -4y = 13 + -46

Combine like terms: 46 + -46 = 0
0 + -4y = 13 + -46
-4y = 13 + -46

Combine like terms: 13 + -46 = -33
-4y = -33

Divide each side by '-4'.
y = 8.25

Simplifying
y = 8.25

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