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Simplifying 4(6y + 3) + -11 = 6(3y + -3) + 19 Reorder the terms: 4(3 + 6y) + -11 = 6(3y + -3) + 19 (3 * 4 + 6y * 4) + -11 = 6(3y + -3) + 19 (12 + 24y) + -11 = 6(3y + -3) + 19 Reorder the terms: 12 + -11 + 24y = 6(3y + -3) + 19 Combine like terms: 12 + -11 = 1 1 + 24y = 6(3y + -3) + 19 Reorder the terms: 1 + 24y = 6(-3 + 3y) + 19 1 + 24y = (-3 * 6 + 3y * 6) + 19 1 + 24y = (-18 + 18y) + 19 Reorder the terms: 1 + 24y = -18 + 19 + 18y Combine like terms: -18 + 19 = 1 1 + 24y = 1 + 18y Add '-1' to each side of the equation. 1 + -1 + 24y = 1 + -1 + 18y Combine like terms: 1 + -1 = 0 0 + 24y = 1 + -1 + 18y 24y = 1 + -1 + 18y Combine like terms: 1 + -1 = 0 24y = 0 + 18y 24y = 18y Solving 24y = 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. 24y + -18y = 18y + -18y Combine like terms: 24y + -18y = 6y 6y = 18y + -18y Combine like terms: 18y + -18y = 0 6y = 0 Divide each side by '6'. y = 0 Simplifying y = 0
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