7-3[3-(5y-2)]=0

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Solution for 7-3[3-(5y-2)]=0 equation:


Simplifying
7 + -3[3 + -1(5y + -2)] = 0

Reorder the terms:
7 + -3[3 + -1(-2 + 5y)] = 0
7 + -3[3 + (-2 * -1 + 5y * -1)] = 0
7 + -3[3 + (2 + -5y)] = 0

Combine like terms: 3 + 2 = 5
7 + -3[5 + -5y] = 0
7 + [5 * -3 + -5y * -3] = 0
7 + [-15 + 15y] = 0

Combine like terms: 7 + -15 = -8
-8 + 15y = 0

Solving
-8 + 15y = 0

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 15y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 15y = 0 + 8
15y = 0 + 8

Combine like terms: 0 + 8 = 8
15y = 8

Divide each side by '15'.
y = 0.5333333333

Simplifying
y = 0.5333333333

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