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Simplifying 5(5y + -1) + 21 = 3(4y + 1) + -23 Reorder the terms: 5(-1 + 5y) + 21 = 3(4y + 1) + -23 (-1 * 5 + 5y * 5) + 21 = 3(4y + 1) + -23 (-5 + 25y) + 21 = 3(4y + 1) + -23 Reorder the terms: -5 + 21 + 25y = 3(4y + 1) + -23 Combine like terms: -5 + 21 = 16 16 + 25y = 3(4y + 1) + -23 Reorder the terms: 16 + 25y = 3(1 + 4y) + -23 16 + 25y = (1 * 3 + 4y * 3) + -23 16 + 25y = (3 + 12y) + -23 Reorder the terms: 16 + 25y = 3 + -23 + 12y Combine like terms: 3 + -23 = -20 16 + 25y = -20 + 12y Solving 16 + 25y = -20 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 16 + 25y + -12y = -20 + 12y + -12y Combine like terms: 25y + -12y = 13y 16 + 13y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 16 + 13y = -20 + 0 16 + 13y = -20 Add '-16' to each side of the equation. 16 + -16 + 13y = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 13y = -20 + -16 13y = -20 + -16 Combine like terms: -20 + -16 = -36 13y = -36 Divide each side by '13'. y = -2.769230769 Simplifying y = -2.769230769
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