-4(7y-12)+6(2+3y)=10

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Solution for -4(7y-12)+6(2+3y)=10 equation: 


Simplifying
-4(7y + -12) + 6(2 + 3y) = 10

Reorder the terms:
-4(-12 + 7y) + 6(2 + 3y) = 10
(-12 * -4 + 7y * -4) + 6(2 + 3y) = 10
(48 + -28y) + 6(2 + 3y) = 10
48 + -28y + (2 * 6 + 3y * 6) = 10
48 + -28y + (12 + 18y) = 10

Reorder the terms:
48 + 12 + -28y + 18y = 10

Combine like terms: 48 + 12 = 60
60 + -28y + 18y = 10

Combine like terms: -28y + 18y = -10y
60 + -10y = 10

Solving
60 + -10y = 10

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + -10y = 10 + -60

Combine like terms: 60 + -60 = 0
0 + -10y = 10 + -60
-10y = 10 + -60

Combine like terms: 10 + -60 = -50
-10y = -50

Divide each side by '-10'.
y = 5

Simplifying
y = 5

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