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Simplifying 7 + 2z + (-3.5) + (-0.5y) = 5 7 + 2z + -3.5 + (-0.5y) = 5 Reorder the terms: 7 + -3.5 + (-0.5y) + 2z = 5 Combine like terms: 7 + -3.5 = 3.5 3.5 + (-0.5y) + 2z = 5 Solving 3.5 + (-0.5y) + 2z = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + (-0.5y) + -3.5 + 2z = 5 + -3.5 Reorder the terms: 3.5 + -3.5 + (-0.5y) + 2z = 5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + (-0.5y) + 2z = 5 + -3.5 (-0.5y) + 2z = 5 + -3.5 Combine like terms: 5 + -3.5 = 1.5 (-0.5y) + 2z = 1.5 Add '-2z' to each side of the equation. (-0.5y) + 2z + -2z = 1.5 + -2z Combine like terms: 2z + -2z = 0 (-0.5y) + 0 = 1.5 + -2z (-0.5y) = 1.5 + -2z Divide each side by '-0.5'. y = -3 + 4z Simplifying y = -3 + 4z
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