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Simplifying 3y + 4(2y + 1) = 40 + -1y Reorder the terms: 3y + 4(1 + 2y) = 40 + -1y 3y + (1 * 4 + 2y * 4) = 40 + -1y 3y + (4 + 8y) = 40 + -1y Reorder the terms: 4 + 3y + 8y = 40 + -1y Combine like terms: 3y + 8y = 11y 4 + 11y = 40 + -1y Solving 4 + 11y = 40 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 4 + 11y + y = 40 + -1y + y Combine like terms: 11y + y = 12y 4 + 12y = 40 + -1y + y Combine like terms: -1y + y = 0 4 + 12y = 40 + 0 4 + 12y = 40 Add '-4' to each side of the equation. 4 + -4 + 12y = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12y = 40 + -4 12y = 40 + -4 Combine like terms: 40 + -4 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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