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Simplifying 4(y + 2) = 7(3 + -1y) Reorder the terms: 4(2 + y) = 7(3 + -1y) (2 * 4 + y * 4) = 7(3 + -1y) (8 + 4y) = 7(3 + -1y) 8 + 4y = (3 * 7 + -1y * 7) 8 + 4y = (21 + -7y) Solving 8 + 4y = 21 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 8 + 4y + 7y = 21 + -7y + 7y Combine like terms: 4y + 7y = 11y 8 + 11y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 8 + 11y = 21 + 0 8 + 11y = 21 Add '-8' to each side of the equation. 8 + -8 + 11y = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 11y = 21 + -8 11y = 21 + -8 Combine like terms: 21 + -8 = 13 11y = 13 Divide each side by '11'. y = 1.181818182 Simplifying y = 1.181818182
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