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Simplifying 10(1 + -2y) = -52y (1 * 10 + -2y * 10) = -52y (10 + -20y) = -52y Solving 10 + -20y = -52y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '52y' to each side of the equation. 10 + -20y + 52y = -52y + 52y Combine like terms: -20y + 52y = 32y 10 + 32y = -52y + 52y Combine like terms: -52y + 52y = 0 10 + 32y = 0 Add '-10' to each side of the equation. 10 + -10 + 32y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 32y = 0 + -10 32y = 0 + -10 Combine like terms: 0 + -10 = -10 32y = -10 Divide each side by '32'. y = -0.3125 Simplifying y = -0.3125
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