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Simplifying 4(y + 2) = 7 + 3y Reorder the terms: 4(2 + y) = 7 + 3y (2 * 4 + y * 4) = 7 + 3y (8 + 4y) = 7 + 3y Solving 8 + 4y = 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. 8 + 4y + -3y = 7 + 3y + -3y Combine like terms: 4y + -3y = 1y 8 + 1y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 1y = 7 + 0 8 + 1y = 7 Add '-8' to each side of the equation. 8 + -8 + 1y = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 7 + -8 1y = 7 + -8 Combine like terms: 7 + -8 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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