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Simplifying -3 + -2(-8y + 1) = 2(9y + 4) + -2 Reorder the terms: -3 + -2(1 + -8y) = 2(9y + 4) + -2 -3 + (1 * -2 + -8y * -2) = 2(9y + 4) + -2 -3 + (-2 + 16y) = 2(9y + 4) + -2 Combine like terms: -3 + -2 = -5 -5 + 16y = 2(9y + 4) + -2 Reorder the terms: -5 + 16y = 2(4 + 9y) + -2 -5 + 16y = (4 * 2 + 9y * 2) + -2 -5 + 16y = (8 + 18y) + -2 Reorder the terms: -5 + 16y = 8 + -2 + 18y Combine like terms: 8 + -2 = 6 -5 + 16y = 6 + 18y Solving -5 + 16y = 6 + 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. -5 + 16y + -18y = 6 + 18y + -18y Combine like terms: 16y + -18y = -2y -5 + -2y = 6 + 18y + -18y Combine like terms: 18y + -18y = 0 -5 + -2y = 6 + 0 -5 + -2y = 6 Add '5' to each side of the equation. -5 + 5 + -2y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 6 + 5 -2y = 6 + 5 Combine like terms: 6 + 5 = 11 -2y = 11 Divide each side by '-2'. y = -5.5 Simplifying y = -5.5
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