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Simplifying 3(y + 1) = 2(y + -2) + -6 Reorder the terms: 3(1 + y) = 2(y + -2) + -6 (1 * 3 + y * 3) = 2(y + -2) + -6 (3 + 3y) = 2(y + -2) + -6 Reorder the terms: 3 + 3y = 2(-2 + y) + -6 3 + 3y = (-2 * 2 + y * 2) + -6 3 + 3y = (-4 + 2y) + -6 Reorder the terms: 3 + 3y = -4 + -6 + 2y Combine like terms: -4 + -6 = -10 3 + 3y = -10 + 2y Solving 3 + 3y = -10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 3 + 3y + -2y = -10 + 2y + -2y Combine like terms: 3y + -2y = 1y 3 + 1y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 1y = -10 + 0 3 + 1y = -10 Add '-3' to each side of the equation. 3 + -3 + 1y = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = -10 + -3 1y = -10 + -3 Combine like terms: -10 + -3 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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