18-4[5(3y+7)-2]=-36

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Solution for 18-4[5(3y+7)-2]=-36 equation: 


Simplifying
18 + -4[5(3y + 7) + -2] = -36

Reorder the terms:
18 + -4[5(7 + 3y) + -2] = -36
18 + -4[(7 * 5 + 3y * 5) + -2] = -36
18 + -4[(35 + 15y) + -2] = -36

Reorder the terms:
18 + -4[35 + -2 + 15y] = -36

Combine like terms: 35 + -2 = 33
18 + -4[33 + 15y] = -36
18 + [33 * -4 + 15y * -4] = -36
18 + [-132 + -60y] = -36

Combine like terms: 18 + -132 = -114
-114 + -60y = -36

Solving
-114 + -60y = -36

Solving for variable 'y'.

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

Add '114' to each side of the equation.
-114 + 114 + -60y = -36 + 114

Combine like terms: -114 + 114 = 0
0 + -60y = -36 + 114
-60y = -36 + 114

Combine like terms: -36 + 114 = 78
-60y = 78

Divide each side by '-60'.
y = -1.3

Simplifying
y = -1.3

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