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Simplifying 4(4y + 5) + -4 = 6(3y + -3) + 20 Reorder the terms: 4(5 + 4y) + -4 = 6(3y + -3) + 20 (5 * 4 + 4y * 4) + -4 = 6(3y + -3) + 20 (20 + 16y) + -4 = 6(3y + -3) + 20 Reorder the terms: 20 + -4 + 16y = 6(3y + -3) + 20 Combine like terms: 20 + -4 = 16 16 + 16y = 6(3y + -3) + 20 Reorder the terms: 16 + 16y = 6(-3 + 3y) + 20 16 + 16y = (-3 * 6 + 3y * 6) + 20 16 + 16y = (-18 + 18y) + 20 Reorder the terms: 16 + 16y = -18 + 20 + 18y Combine like terms: -18 + 20 = 2 16 + 16y = 2 + 18y Solving 16 + 16y = 2 + 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. 16 + 16y + -18y = 2 + 18y + -18y Combine like terms: 16y + -18y = -2y 16 + -2y = 2 + 18y + -18y Combine like terms: 18y + -18y = 0 16 + -2y = 2 + 0 16 + -2y = 2 Add '-16' to each side of the equation. 16 + -16 + -2y = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -2y = 2 + -16 -2y = 2 + -16 Combine like terms: 2 + -16 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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