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Simplifying 0.07(y + -8) + 0.32y = 0.09y + -0.50 Reorder the terms: 0.07(-8 + y) + 0.32y = 0.09y + -0.50 (-8 * 0.07 + y * 0.07) + 0.32y = 0.09y + -0.50 (-0.56 + 0.07y) + 0.32y = 0.09y + -0.50 Combine like terms: 0.07y + 0.32y = 0.39y -0.56 + 0.39y = 0.09y + -0.50 Reorder the terms: -0.56 + 0.39y = -0.50 + 0.09y Solving -0.56 + 0.39y = -0.50 + 0.09y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.09y' to each side of the equation. -0.56 + 0.39y + -0.09y = -0.50 + 0.09y + -0.09y Combine like terms: 0.39y + -0.09y = 0.3y -0.56 + 0.3y = -0.50 + 0.09y + -0.09y Combine like terms: 0.09y + -0.09y = 0.00 -0.56 + 0.3y = -0.50 + 0.00 -0.56 + 0.3y = -0.50 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.3y = -0.50 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.3y = -0.50 + 0.56 0.3y = -0.50 + 0.56 Combine like terms: -0.50 + 0.56 = 0.06 0.3y = 0.06 Divide each side by '0.3'. y = 0.2 Simplifying y = 0.2
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