Y-7-3y=10-6y*4

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Solution for Y-7-3y=10-6y*4 equation: 


Simplifying
Y + -7 + -3y = 10 + -6y * 4

Reorder the terms:
-7 + Y + -3y = 10 + -6y * 4

Reorder the terms for easier multiplication:
-7 + Y + -3y = 10 + -6 * 4y

Multiply -6 * 4
-7 + Y + -3y = 10 + -24y

Solving
-7 + Y + -3y = 10 + -24y

Solving for variable 'Y'.

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

Add '7' to each side of the equation.
-7 + Y + 7 + -3y = 10 + 7 + -24y

Reorder the terms:
-7 + 7 + Y + -3y = 10 + 7 + -24y

Combine like terms: -7 + 7 = 0
0 + Y + -3y = 10 + 7 + -24y
Y + -3y = 10 + 7 + -24y

Combine like terms: 10 + 7 = 17
Y + -3y = 17 + -24y

Add '3y' to each side of the equation.
Y + -3y + 3y = 17 + -24y + 3y

Combine like terms: -3y + 3y = 0
Y + 0 = 17 + -24y + 3y
Y = 17 + -24y + 3y

Combine like terms: -24y + 3y = -21y
Y = 17 + -21y

Simplifying
Y = 17 + -21y

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