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Simplifying (1 + -3y + -1z) + 4(0.75 + -0.625z) + -1z = 2 Remove parenthesis around (1 + -3y + -1z) 1 + -3y + -1z + 4(0.75 + -0.625z) + -1z = 2 1 + -3y + -1z + (0.75 * 4 + -0.625z * 4) + -1z = 2 1 + -3y + -1z + (3 + -2.5z) + -1z = 2 Reorder the terms: 1 + 3 + -3y + -1z + -2.5z + -1z = 2 Combine like terms: 1 + 3 = 4 4 + -3y + -1z + -2.5z + -1z = 2 Combine like terms: -1z + -2.5z = -3.5z 4 + -3y + -3.5z + -1z = 2 Combine like terms: -3.5z + -1z = -4.5z 4 + -3y + -4.5z = 2 Solving 4 + -3y + -4.5z = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3y + -4 + -4.5z = 2 + -4 Reorder the terms: 4 + -4 + -3y + -4.5z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -3y + -4.5z = 2 + -4 -3y + -4.5z = 2 + -4 Combine like terms: 2 + -4 = -2 -3y + -4.5z = -2 Add '4.5z' to each side of the equation. -3y + -4.5z + 4.5z = -2 + 4.5z Combine like terms: -4.5z + 4.5z = 0.0 -3y + 0.0 = -2 + 4.5z -3y = -2 + 4.5z Divide each side by '-3'. y = 0.6666666667 + -1.5z Simplifying y = 0.6666666667 + -1.5z
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