3-4[6-(9y-2)]=1

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Solution for 3-4[6-(9y-2)]=1 equation:


Simplifying
3 + -4[6 + -1(9y + -2)] = 1

Reorder the terms:
3 + -4[6 + -1(-2 + 9y)] = 1
3 + -4[6 + (-2 * -1 + 9y * -1)] = 1
3 + -4[6 + (2 + -9y)] = 1

Combine like terms: 6 + 2 = 8
3 + -4[8 + -9y] = 1
3 + [8 * -4 + -9y * -4] = 1
3 + [-32 + 36y] = 1

Combine like terms: 3 + -32 = -29
-29 + 36y = 1

Solving
-29 + 36y = 1

Solving for variable 'y'.

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

Add '29' to each side of the equation.
-29 + 29 + 36y = 1 + 29

Combine like terms: -29 + 29 = 0
0 + 36y = 1 + 29
36y = 1 + 29

Combine like terms: 1 + 29 = 30
36y = 30

Divide each side by '36'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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