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Simplifying 4(y + 3) = 8(2.7 + -1y) Reorder the terms: 4(3 + y) = 8(2.7 + -1y) (3 * 4 + y * 4) = 8(2.7 + -1y) (12 + 4y) = 8(2.7 + -1y) 12 + 4y = (2.7 * 8 + -1y * 8) 12 + 4y = (21.6 + -8y) Solving 12 + 4y = 21.6 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + 4y + 8y = 21.6 + -8y + 8y Combine like terms: 4y + 8y = 12y 12 + 12y = 21.6 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 12y = 21.6 + 0 12 + 12y = 21.6 Add '-12' to each side of the equation. 12 + -12 + 12y = 21.6 + -12 Combine like terms: 12 + -12 = 0 0 + 12y = 21.6 + -12 12y = 21.6 + -12 Combine like terms: 21.6 + -12 = 9.6 12y = 9.6 Divide each side by '12'. y = 0.8 Simplifying y = 0.8
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