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Simplifying 4(3 + -1y) = -1y + 8 (3 * 4 + -1y * 4) = -1y + 8 (12 + -4y) = -1y + 8 Reorder the terms: 12 + -4y = 8 + -1y Solving 12 + -4y = 8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 12 + -4y + y = 8 + -1y + y Combine like terms: -4y + y = -3y 12 + -3y = 8 + -1y + y Combine like terms: -1y + y = 0 12 + -3y = 8 + 0 12 + -3y = 8 Add '-12' to each side of the equation. 12 + -12 + -3y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 8 + -12 -3y = 8 + -12 Combine like terms: 8 + -12 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333
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