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

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


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

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

Combine like terms: 5 + 2 = 7
7 + -2[7 + -3y] = 0
7 + [7 * -2 + -3y * -2] = 0
7 + [-14 + 6y] = 0

Combine like terms: 7 + -14 = -7
-7 + 6y = 0

Solving
-7 + 6y = 0

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 + 7 + 6y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6y = 0 + 7
6y = 0 + 7

Combine like terms: 0 + 7 = 7
6y = 7

Divide each side by '6'.
y = 1.166666667

Simplifying
y = 1.166666667

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