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Simplifying (8y + 6z + -33) + -1(7y + -2z + 14) = 0 Reorder the terms: (-33 + 8y + 6z) + -1(7y + -2z + 14) = 0 Remove parenthesis around (-33 + 8y + 6z) -33 + 8y + 6z + -1(7y + -2z + 14) = 0 Reorder the terms: -33 + 8y + 6z + -1(14 + 7y + -2z) = 0 -33 + 8y + 6z + (14 * -1 + 7y * -1 + -2z * -1) = 0 -33 + 8y + 6z + (-14 + -7y + 2z) = 0 Reorder the terms: -33 + -14 + 8y + -7y + 6z + 2z = 0 Combine like terms: -33 + -14 = -47 -47 + 8y + -7y + 6z + 2z = 0 Combine like terms: 8y + -7y = 1y -47 + 1y + 6z + 2z = 0 Combine like terms: 6z + 2z = 8z -47 + 1y + 8z = 0 Solving -47 + 1y + 8z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 1y + 47 + 8z = 0 + 47 Reorder the terms: -47 + 47 + 1y + 8z = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1y + 8z = 0 + 47 1y + 8z = 0 + 47 Combine like terms: 0 + 47 = 47 1y + 8z = 47 Add '-8z' to each side of the equation. 1y + 8z + -8z = 47 + -8z Combine like terms: 8z + -8z = 0 1y + 0 = 47 + -8z 1y = 47 + -8z Divide each side by '1'. y = 47 + -8z Simplifying y = 47 + -8z
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