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Simplifying 4(y + 1) = 3y + -6 Reorder the terms: 4(1 + y) = 3y + -6 (1 * 4 + y * 4) = 3y + -6 (4 + 4y) = 3y + -6 Reorder the terms: 4 + 4y = -6 + 3y Solving 4 + 4y = -6 + 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. 4 + 4y + -3y = -6 + 3y + -3y Combine like terms: 4y + -3y = 1y 4 + 1y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 1y = -6 + 0 4 + 1y = -6 Add '-4' to each side of the equation. 4 + -4 + 1y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = -6 + -4 1y = -6 + -4 Combine like terms: -6 + -4 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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