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Simplifying 2(4 + -0.33y + -0.33z) + z = 7 (4 * 2 + -0.33y * 2 + -0.33z * 2) + z = 7 (8 + -0.66y + -0.66z) + z = 7 Combine like terms: -0.66z + z = 0.34z 8 + -0.66y + 0.34z = 7 Solving 8 + -0.66y + 0.34z = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -0.66y + -8 + 0.34z = 7 + -8 Reorder the terms: 8 + -8 + -0.66y + 0.34z = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.66y + 0.34z = 7 + -8 -0.66y + 0.34z = 7 + -8 Combine like terms: 7 + -8 = -1 -0.66y + 0.34z = -1 Add '-0.34z' to each side of the equation. -0.66y + 0.34z + -0.34z = -1 + -0.34z Combine like terms: 0.34z + -0.34z = 0.00 -0.66y + 0.00 = -1 + -0.34z -0.66y = -1 + -0.34z Divide each side by '-0.66'. y = 1.515151515 + 0.5151515152z Simplifying y = 1.515151515 + 0.5151515152z
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