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Simplifying 4(3y + -1) + 6 = 5(2y + 5) Reorder the terms: 4(-1 + 3y) + 6 = 5(2y + 5) (-1 * 4 + 3y * 4) + 6 = 5(2y + 5) (-4 + 12y) + 6 = 5(2y + 5) Reorder the terms: -4 + 6 + 12y = 5(2y + 5) Combine like terms: -4 + 6 = 2 2 + 12y = 5(2y + 5) Reorder the terms: 2 + 12y = 5(5 + 2y) 2 + 12y = (5 * 5 + 2y * 5) 2 + 12y = (25 + 10y) Solving 2 + 12y = 25 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 2 + 12y + -10y = 25 + 10y + -10y Combine like terms: 12y + -10y = 2y 2 + 2y = 25 + 10y + -10y Combine like terms: 10y + -10y = 0 2 + 2y = 25 + 0 2 + 2y = 25 Add '-2' to each side of the equation. 2 + -2 + 2y = 25 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 25 + -2 2y = 25 + -2 Combine like terms: 25 + -2 = 23 2y = 23 Divide each side by '2'. y = 11.5 Simplifying y = 11.5
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