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Simplifying 3(4y + 8) + -1(6y + -25) = 4y + 7 Reorder the terms: 3(8 + 4y) + -1(6y + -25) = 4y + 7 (8 * 3 + 4y * 3) + -1(6y + -25) = 4y + 7 (24 + 12y) + -1(6y + -25) = 4y + 7 Reorder the terms: 24 + 12y + -1(-25 + 6y) = 4y + 7 24 + 12y + (-25 * -1 + 6y * -1) = 4y + 7 24 + 12y + (25 + -6y) = 4y + 7 Reorder the terms: 24 + 25 + 12y + -6y = 4y + 7 Combine like terms: 24 + 25 = 49 49 + 12y + -6y = 4y + 7 Combine like terms: 12y + -6y = 6y 49 + 6y = 4y + 7 Reorder the terms: 49 + 6y = 7 + 4y Solving 49 + 6y = 7 + 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. 49 + 6y + -4y = 7 + 4y + -4y Combine like terms: 6y + -4y = 2y 49 + 2y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 49 + 2y = 7 + 0 49 + 2y = 7 Add '-49' to each side of the equation. 49 + -49 + 2y = 7 + -49 Combine like terms: 49 + -49 = 0 0 + 2y = 7 + -49 2y = 7 + -49 Combine like terms: 7 + -49 = -42 2y = -42 Divide each side by '2'. y = -21 Simplifying y = -21
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