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Simplifying 10(32 + -1y) = 6y (32 * 10 + -1y * 10) = 6y (320 + -10y) = 6y Solving 320 + -10y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 320 + -10y + -6y = 6y + -6y Combine like terms: -10y + -6y = -16y 320 + -16y = 6y + -6y Combine like terms: 6y + -6y = 0 320 + -16y = 0 Add '-320' to each side of the equation. 320 + -320 + -16y = 0 + -320 Combine like terms: 320 + -320 = 0 0 + -16y = 0 + -320 -16y = 0 + -320 Combine like terms: 0 + -320 = -320 -16y = -320 Divide each side by '-16'. y = 20 Simplifying y = 20
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