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Simplifying 3 + 5(y + 4) = 4(y + -2) + 3 Reorder the terms: 3 + 5(4 + y) = 4(y + -2) + 3 3 + (4 * 5 + y * 5) = 4(y + -2) + 3 3 + (20 + 5y) = 4(y + -2) + 3 Combine like terms: 3 + 20 = 23 23 + 5y = 4(y + -2) + 3 Reorder the terms: 23 + 5y = 4(-2 + y) + 3 23 + 5y = (-2 * 4 + y * 4) + 3 23 + 5y = (-8 + 4y) + 3 Reorder the terms: 23 + 5y = -8 + 3 + 4y Combine like terms: -8 + 3 = -5 23 + 5y = -5 + 4y Solving 23 + 5y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 23 + 5y + -4y = -5 + 4y + -4y Combine like terms: 5y + -4y = 1y 23 + 1y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 23 + 1y = -5 + 0 23 + 1y = -5 Add '-23' to each side of the equation. 23 + -23 + 1y = -5 + -23 Combine like terms: 23 + -23 = 0 0 + 1y = -5 + -23 1y = -5 + -23 Combine like terms: -5 + -23 = -28 1y = -28 Divide each side by '1'. y = -28 Simplifying y = -28
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