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Simplifying 4(5y + -3) + 9 = 6(3y + 1) + -17 Reorder the terms: 4(-3 + 5y) + 9 = 6(3y + 1) + -17 (-3 * 4 + 5y * 4) + 9 = 6(3y + 1) + -17 (-12 + 20y) + 9 = 6(3y + 1) + -17 Reorder the terms: -12 + 9 + 20y = 6(3y + 1) + -17 Combine like terms: -12 + 9 = -3 -3 + 20y = 6(3y + 1) + -17 Reorder the terms: -3 + 20y = 6(1 + 3y) + -17 -3 + 20y = (1 * 6 + 3y * 6) + -17 -3 + 20y = (6 + 18y) + -17 Reorder the terms: -3 + 20y = 6 + -17 + 18y Combine like terms: 6 + -17 = -11 -3 + 20y = -11 + 18y Solving -3 + 20y = -11 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -3 + 20y + -18y = -11 + 18y + -18y Combine like terms: 20y + -18y = 2y -3 + 2y = -11 + 18y + -18y Combine like terms: 18y + -18y = 0 -3 + 2y = -11 + 0 -3 + 2y = -11 Add '3' to each side of the equation. -3 + 3 + 2y = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = -11 + 3 2y = -11 + 3 Combine like terms: -11 + 3 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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