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Simplifying -1(5 + y) + 4y + 2z = 3 (5 * -1 + y * -1) + 4y + 2z = 3 (-5 + -1y) + 4y + 2z = 3 Combine like terms: -1y + 4y = 3y -5 + 3y + 2z = 3 Solving -5 + 3y + 2z = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3y + 5 + 2z = 3 + 5 Reorder the terms: -5 + 5 + 3y + 2z = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 3y + 2z = 3 + 5 3y + 2z = 3 + 5 Combine like terms: 3 + 5 = 8 3y + 2z = 8 Add '-2z' to each side of the equation. 3y + 2z + -2z = 8 + -2z Combine like terms: 2z + -2z = 0 3y + 0 = 8 + -2z 3y = 8 + -2z Divide each side by '3'. y = 2.666666667 + -0.6666666667z Simplifying y = 2.666666667 + -0.6666666667z
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