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Simplifying 7.5y + -1(25 + -5y) = 8y + -34 7.5y + (25 * -1 + -5y * -1) = 8y + -34 7.5y + (-25 + 5y) = 8y + -34 Reorder the terms: -25 + 7.5y + 5y = 8y + -34 Combine like terms: 7.5y + 5y = 12.5y -25 + 12.5y = 8y + -34 Reorder the terms: -25 + 12.5y = -34 + 8y Solving -25 + 12.5y = -34 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -25 + 12.5y + -8y = -34 + 8y + -8y Combine like terms: 12.5y + -8y = 4.5y -25 + 4.5y = -34 + 8y + -8y Combine like terms: 8y + -8y = 0 -25 + 4.5y = -34 + 0 -25 + 4.5y = -34 Add '25' to each side of the equation. -25 + 25 + 4.5y = -34 + 25 Combine like terms: -25 + 25 = 0 0 + 4.5y = -34 + 25 4.5y = -34 + 25 Combine like terms: -34 + 25 = -9 4.5y = -9 Divide each side by '4.5'. y = -2 Simplifying y = -2
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