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Simplifying 4(4y + 5) + -3(6y + -2) = -2 Reorder the terms: 4(5 + 4y) + -3(6y + -2) = -2 (5 * 4 + 4y * 4) + -3(6y + -2) = -2 (20 + 16y) + -3(6y + -2) = -2 Reorder the terms: 20 + 16y + -3(-2 + 6y) = -2 20 + 16y + (-2 * -3 + 6y * -3) = -2 20 + 16y + (6 + -18y) = -2 Reorder the terms: 20 + 6 + 16y + -18y = -2 Combine like terms: 20 + 6 = 26 26 + 16y + -18y = -2 Combine like terms: 16y + -18y = -2y 26 + -2y = -2 Solving 26 + -2y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2y = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -2y = -2 + -26 -2y = -2 + -26 Combine like terms: -2 + -26 = -28 -2y = -28 Divide each side by '-2'. y = 14 Simplifying y = 14
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