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