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Simplifying 4(y + 6) + -3(y + -19) = 36 Reorder the terms: 4(6 + y) + -3(y + -19) = 36 (6 * 4 + y * 4) + -3(y + -19) = 36 (24 + 4y) + -3(y + -19) = 36 Reorder the terms: 24 + 4y + -3(-19 + y) = 36 24 + 4y + (-19 * -3 + y * -3) = 36 24 + 4y + (57 + -3y) = 36 Reorder the terms: 24 + 57 + 4y + -3y = 36 Combine like terms: 24 + 57 = 81 81 + 4y + -3y = 36 Combine like terms: 4y + -3y = 1y 81 + 1y = 36 Solving 81 + 1y = 36 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 1y = 36 + -81 Combine like terms: 81 + -81 = 0 0 + 1y = 36 + -81 1y = 36 + -81 Combine like terms: 36 + -81 = -45 1y = -45 Divide each side by '1'. y = -45 Simplifying y = -45
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