3y-2[5(y-1)-4]=4(7-3y)

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Solution for 3y-2[5(y-1)-4]=4(7-3y) equation:


Simplifying
3y + -2[5(y + -1) + -4] = 4(7 + -3y)

Reorder the terms:
3y + -2[5(-1 + y) + -4] = 4(7 + -3y)
3y + -2[(-1 * 5 + y * 5) + -4] = 4(7 + -3y)
3y + -2[(-5 + 5y) + -4] = 4(7 + -3y)

Reorder the terms:
3y + -2[-5 + -4 + 5y] = 4(7 + -3y)

Combine like terms: -5 + -4 = -9
3y + -2[-9 + 5y] = 4(7 + -3y)
3y + [-9 * -2 + 5y * -2] = 4(7 + -3y)
3y + [18 + -10y] = 4(7 + -3y)

Reorder the terms:
18 + 3y + -10y = 4(7 + -3y)

Combine like terms: 3y + -10y = -7y
18 + -7y = 4(7 + -3y)
18 + -7y = (7 * 4 + -3y * 4)
18 + -7y = (28 + -12y)

Solving
18 + -7y = 28 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
18 + -7y + 12y = 28 + -12y + 12y

Combine like terms: -7y + 12y = 5y
18 + 5y = 28 + -12y + 12y

Combine like terms: -12y + 12y = 0
18 + 5y = 28 + 0
18 + 5y = 28

Add '-18' to each side of the equation.
18 + -18 + 5y = 28 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = 28 + -18
5y = 28 + -18

Combine like terms: 28 + -18 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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