7(6-4)=-3(Y-2)

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Solution for 7(6-4)=-3(Y-2) equation:


Simplifying
7(6 + -4) = -3(Y + -2)

Combine like terms: 6 + -4 = 2
7(2) = -3(Y + -2)

Multiply 7 * 2
14 = -3(Y + -2)

Reorder the terms:
14 = -3(-2 + Y)
14 = (-2 * -3 + Y * -3)
14 = (6 + -3Y)

Solving
14 = 6 + -3Y

Solving for variable 'Y'.

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

Add '3Y' to each side of the equation.
14 + 3Y = 6 + -3Y + 3Y

Combine like terms: -3Y + 3Y = 0
14 + 3Y = 6 + 0
14 + 3Y = 6

Add '-14' to each side of the equation.
14 + -14 + 3Y = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 3Y = 6 + -14
3Y = 6 + -14

Combine like terms: 6 + -14 = -8
3Y = -8

Divide each side by '3'.
Y = -2.666666667

Simplifying
Y = -2.666666667

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