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Simplifying 4(5y + -2) + 3(2y + 6) = 25(3y + 2) + -19 Reorder the terms: 4(-2 + 5y) + 3(2y + 6) = 25(3y + 2) + -19 (-2 * 4 + 5y * 4) + 3(2y + 6) = 25(3y + 2) + -19 (-8 + 20y) + 3(2y + 6) = 25(3y + 2) + -19 Reorder the terms: -8 + 20y + 3(6 + 2y) = 25(3y + 2) + -19 -8 + 20y + (6 * 3 + 2y * 3) = 25(3y + 2) + -19 -8 + 20y + (18 + 6y) = 25(3y + 2) + -19 Reorder the terms: -8 + 18 + 20y + 6y = 25(3y + 2) + -19 Combine like terms: -8 + 18 = 10 10 + 20y + 6y = 25(3y + 2) + -19 Combine like terms: 20y + 6y = 26y 10 + 26y = 25(3y + 2) + -19 Reorder the terms: 10 + 26y = 25(2 + 3y) + -19 10 + 26y = (2 * 25 + 3y * 25) + -19 10 + 26y = (50 + 75y) + -19 Reorder the terms: 10 + 26y = 50 + -19 + 75y Combine like terms: 50 + -19 = 31 10 + 26y = 31 + 75y Solving 10 + 26y = 31 + 75y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-75y' to each side of the equation. 10 + 26y + -75y = 31 + 75y + -75y Combine like terms: 26y + -75y = -49y 10 + -49y = 31 + 75y + -75y Combine like terms: 75y + -75y = 0 10 + -49y = 31 + 0 10 + -49y = 31 Add '-10' to each side of the equation. 10 + -10 + -49y = 31 + -10 Combine like terms: 10 + -10 = 0 0 + -49y = 31 + -10 -49y = 31 + -10 Combine like terms: 31 + -10 = 21 -49y = 21 Divide each side by '-49'. y = -0.4285714286 Simplifying y = -0.4285714286
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