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Simplifying 4 + 0.5y + -0.75z + -4z = -7 Combine like terms: -0.75z + -4z = -4.75z 4 + 0.5y + -4.75z = -7 Solving 4 + 0.5y + -4.75z = -7 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 + 0.5y + -4 + -4.75z = -7 + -4 Reorder the terms: 4 + -4 + 0.5y + -4.75z = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5y + -4.75z = -7 + -4 0.5y + -4.75z = -7 + -4 Combine like terms: -7 + -4 = -11 0.5y + -4.75z = -11 Add '4.75z' to each side of the equation. 0.5y + -4.75z + 4.75z = -11 + 4.75z Combine like terms: -4.75z + 4.75z = 0.00 0.5y + 0.00 = -11 + 4.75z 0.5y = -11 + 4.75z Divide each side by '0.5'. y = -22 + 9.5z Simplifying y = -22 + 9.5z
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