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Simplifying (-15 + -1z + 3y) + -1(11.5z) + 2z = 8 Reorder the terms: (-15 + 3y + -1z) + -1(11.5z) + 2z = 8 Remove parenthesis around (-15 + 3y + -1z) -15 + 3y + -1z + -1(11.5z) + 2z = 8 Remove parenthesis around (11.5z) -15 + 3y + -1z + -1 * 11.5z + 2z = 8 Multiply -1 * 11.5 -15 + 3y + -1z + -11.5z + 2z = 8 Combine like terms: -1z + -11.5z = -12.5z -15 + 3y + -12.5z + 2z = 8 Combine like terms: -12.5z + 2z = -10.5z -15 + 3y + -10.5z = 8 Solving -15 + 3y + -10.5z = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3y + 15 + -10.5z = 8 + 15 Reorder the terms: -15 + 15 + 3y + -10.5z = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 3y + -10.5z = 8 + 15 3y + -10.5z = 8 + 15 Combine like terms: 8 + 15 = 23 3y + -10.5z = 23 Add '10.5z' to each side of the equation. 3y + -10.5z + 10.5z = 23 + 10.5z Combine like terms: -10.5z + 10.5z = 0.0 3y + 0.0 = 23 + 10.5z 3y = 23 + 10.5z Divide each side by '3'. y = 7.666666667 + 3.5z Simplifying y = 7.666666667 + 3.5z
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