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Simplifying 5y + -6(6z + 2y) + -6z = 0 Reorder the terms: 5y + -6(2y + 6z) + -6z = 0 5y + (2y * -6 + 6z * -6) + -6z = 0 5y + (-12y + -36z) + -6z = 0 Combine like terms: 5y + -12y = -7y -7y + -36z + -6z = 0 Combine like terms: -36z + -6z = -42z -7y + -42z = 0 Solving -7y + -42z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42z' to each side of the equation. -7y + -42z + 42z = 0 + 42z Combine like terms: -42z + 42z = 0 -7y + 0 = 0 + 42z -7y = 0 + 42z Remove the zero: -7y = 42z Divide each side by '-7'. y = -6z Simplifying y = -6z
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