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Simplifying 8(2y + -1) = 2(9y + 5) + -10 Reorder the terms: 8(-1 + 2y) = 2(9y + 5) + -10 (-1 * 8 + 2y * 8) = 2(9y + 5) + -10 (-8 + 16y) = 2(9y + 5) + -10 Reorder the terms: -8 + 16y = 2(5 + 9y) + -10 -8 + 16y = (5 * 2 + 9y * 2) + -10 -8 + 16y = (10 + 18y) + -10 Reorder the terms: -8 + 16y = 10 + -10 + 18y Combine like terms: 10 + -10 = 0 -8 + 16y = 0 + 18y -8 + 16y = 18y Solving -8 + 16y = 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. -8 + 16y + -18y = 18y + -18y Combine like terms: 16y + -18y = -2y -8 + -2y = 18y + -18y Combine like terms: 18y + -18y = 0 -8 + -2y = 0 Add '8' to each side of the equation. -8 + 8 + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 0 + 8 -2y = 0 + 8 Combine like terms: 0 + 8 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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