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Simplifying 2(18 + -1y + -9z) + -1y + -1z = -11 (18 * 2 + -1y * 2 + -9z * 2) + -1y + -1z = -11 (36 + -2y + -18z) + -1y + -1z = -11 Reorder the terms: 36 + -2y + -1y + -18z + -1z = -11 Combine like terms: -2y + -1y = -3y 36 + -3y + -18z + -1z = -11 Combine like terms: -18z + -1z = -19z 36 + -3y + -19z = -11 Solving 36 + -3y + -19z = -11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -3y + -36 + -19z = -11 + -36 Reorder the terms: 36 + -36 + -3y + -19z = -11 + -36 Combine like terms: 36 + -36 = 0 0 + -3y + -19z = -11 + -36 -3y + -19z = -11 + -36 Combine like terms: -11 + -36 = -47 -3y + -19z = -47 Add '19z' to each side of the equation. -3y + -19z + 19z = -47 + 19z Combine like terms: -19z + 19z = 0 -3y + 0 = -47 + 19z -3y = -47 + 19z Divide each side by '-3'. y = 15.66666667 + -6.333333333z Simplifying y = 15.66666667 + -6.333333333z
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