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Simplifying 5(2y + 1) = 3(4y + 7) Reorder the terms: 5(1 + 2y) = 3(4y + 7) (1 * 5 + 2y * 5) = 3(4y + 7) (5 + 10y) = 3(4y + 7) Reorder the terms: 5 + 10y = 3(7 + 4y) 5 + 10y = (7 * 3 + 4y * 3) 5 + 10y = (21 + 12y) Solving 5 + 10y = 21 + 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. 5 + 10y + -12y = 21 + 12y + -12y Combine like terms: 10y + -12y = -2y 5 + -2y = 21 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + -2y = 21 + 0 5 + -2y = 21 Add '-5' to each side of the equation. 5 + -5 + -2y = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 21 + -5 -2y = 21 + -5 Combine like terms: 21 + -5 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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