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Simplifying 4(y + 1) + y = 3(y + -2) + 2 Reorder the terms: 4(1 + y) + y = 3(y + -2) + 2 (1 * 4 + y * 4) + y = 3(y + -2) + 2 (4 + 4y) + y = 3(y + -2) + 2 Combine like terms: 4y + y = 5y 4 + 5y = 3(y + -2) + 2 Reorder the terms: 4 + 5y = 3(-2 + y) + 2 4 + 5y = (-2 * 3 + y * 3) + 2 4 + 5y = (-6 + 3y) + 2 Reorder the terms: 4 + 5y = -6 + 2 + 3y Combine like terms: -6 + 2 = -4 4 + 5y = -4 + 3y Solving 4 + 5y = -4 + 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 + 5y + -3y = -4 + 3y + -3y Combine like terms: 5y + -3y = 2y 4 + 2y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 2y = -4 + 0 4 + 2y = -4 Add '-4' to each side of the equation. 4 + -4 + 2y = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -4 + -4 2y = -4 + -4 Combine like terms: -4 + -4 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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