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Simplifying 4(3y + -2) = 9(2y + 5) Reorder the terms: 4(-2 + 3y) = 9(2y + 5) (-2 * 4 + 3y * 4) = 9(2y + 5) (-8 + 12y) = 9(2y + 5) Reorder the terms: -8 + 12y = 9(5 + 2y) -8 + 12y = (5 * 9 + 2y * 9) -8 + 12y = (45 + 18y) Solving -8 + 12y = 45 + 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. -8 + 12y + -18y = 45 + 18y + -18y Combine like terms: 12y + -18y = -6y -8 + -6y = 45 + 18y + -18y Combine like terms: 18y + -18y = 0 -8 + -6y = 45 + 0 -8 + -6y = 45 Add '8' to each side of the equation. -8 + 8 + -6y = 45 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = 45 + 8 -6y = 45 + 8 Combine like terms: 45 + 8 = 53 -6y = 53 Divide each side by '-6'. y = -8.833333333 Simplifying y = -8.833333333
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