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Simplifying 8(5y + -2) = 20y + 64 Reorder the terms: 8(-2 + 5y) = 20y + 64 (-2 * 8 + 5y * 8) = 20y + 64 (-16 + 40y) = 20y + 64 Reorder the terms: -16 + 40y = 64 + 20y Solving -16 + 40y = 64 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -16 + 40y + -20y = 64 + 20y + -20y Combine like terms: 40y + -20y = 20y -16 + 20y = 64 + 20y + -20y Combine like terms: 20y + -20y = 0 -16 + 20y = 64 + 0 -16 + 20y = 64 Add '16' to each side of the equation. -16 + 16 + 20y = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 20y = 64 + 16 20y = 64 + 16 Combine like terms: 64 + 16 = 80 20y = 80 Divide each side by '20'. y = 4 Simplifying y = 4
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