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Simplifying -81 + 18y + 5 = 6(4y + -3) + -4 Reorder the terms: -81 + 5 + 18y = 6(4y + -3) + -4 Combine like terms: -81 + 5 = -76 -76 + 18y = 6(4y + -3) + -4 Reorder the terms: -76 + 18y = 6(-3 + 4y) + -4 -76 + 18y = (-3 * 6 + 4y * 6) + -4 -76 + 18y = (-18 + 24y) + -4 Reorder the terms: -76 + 18y = -18 + -4 + 24y Combine like terms: -18 + -4 = -22 -76 + 18y = -22 + 24y Solving -76 + 18y = -22 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -76 + 18y + -24y = -22 + 24y + -24y Combine like terms: 18y + -24y = -6y -76 + -6y = -22 + 24y + -24y Combine like terms: 24y + -24y = 0 -76 + -6y = -22 + 0 -76 + -6y = -22 Add '76' to each side of the equation. -76 + 76 + -6y = -22 + 76 Combine like terms: -76 + 76 = 0 0 + -6y = -22 + 76 -6y = -22 + 76 Combine like terms: -22 + 76 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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