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Simplifying 5(y + -2) = -3y + -34 Reorder the terms: 5(-2 + y) = -3y + -34 (-2 * 5 + y * 5) = -3y + -34 (-10 + 5y) = -3y + -34 Reorder the terms: -10 + 5y = -34 + -3y Solving -10 + 5y = -34 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -10 + 5y + 3y = -34 + -3y + 3y Combine like terms: 5y + 3y = 8y -10 + 8y = -34 + -3y + 3y Combine like terms: -3y + 3y = 0 -10 + 8y = -34 + 0 -10 + 8y = -34 Add '10' to each side of the equation. -10 + 10 + 8y = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = -34 + 10 8y = -34 + 10 Combine like terms: -34 + 10 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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