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Simplifying 4(4 + -8y) + -1y = 3y + 7 (4 * 4 + -8y * 4) + -1y = 3y + 7 (16 + -32y) + -1y = 3y + 7 Combine like terms: -32y + -1y = -33y 16 + -33y = 3y + 7 Reorder the terms: 16 + -33y = 7 + 3y Solving 16 + -33y = 7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 16 + -33y + -3y = 7 + 3y + -3y Combine like terms: -33y + -3y = -36y 16 + -36y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + -36y = 7 + 0 16 + -36y = 7 Add '-16' to each side of the equation. 16 + -16 + -36y = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -36y = 7 + -16 -36y = 7 + -16 Combine like terms: 7 + -16 = -9 -36y = -9 Divide each side by '-36'. y = 0.25 Simplifying y = 0.25
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