7-4[5-(5y-6)]=x

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Solution for 7-4[5-(5y-6)]=x equation:


Simplifying
7 + -4[5 + -1(5y + -6)] = x

Reorder the terms:
7 + -4[5 + -1(-6 + 5y)] = x
7 + -4[5 + (-6 * -1 + 5y * -1)] = x
7 + -4[5 + (6 + -5y)] = x

Combine like terms: 5 + 6 = 11
7 + -4[11 + -5y] = x
7 + [11 * -4 + -5y * -4] = x
7 + [-44 + 20y] = x

Combine like terms: 7 + -44 = -37
-37 + 20y = x

Solving
-37 + 20y = x

Solving for variable 'y'.

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

Add '37' to each side of the equation.
-37 + 37 + 20y = 37 + x

Combine like terms: -37 + 37 = 0
0 + 20y = 37 + x
20y = 37 + x

Divide each side by '20'.
y = 1.85 + 0.05x

Simplifying
y = 1.85 + 0.05x

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