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Simplifying 8y + 3(y + -2) = 5(y + -1) + -4 Reorder the terms: 8y + 3(-2 + y) = 5(y + -1) + -4 8y + (-2 * 3 + y * 3) = 5(y + -1) + -4 8y + (-6 + 3y) = 5(y + -1) + -4 Reorder the terms: -6 + 8y + 3y = 5(y + -1) + -4 Combine like terms: 8y + 3y = 11y -6 + 11y = 5(y + -1) + -4 Reorder the terms: -6 + 11y = 5(-1 + y) + -4 -6 + 11y = (-1 * 5 + y * 5) + -4 -6 + 11y = (-5 + 5y) + -4 Reorder the terms: -6 + 11y = -5 + -4 + 5y Combine like terms: -5 + -4 = -9 -6 + 11y = -9 + 5y Solving -6 + 11y = -9 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + 11y + -5y = -9 + 5y + -5y Combine like terms: 11y + -5y = 6y -6 + 6y = -9 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 6y = -9 + 0 -6 + 6y = -9 Add '6' to each side of the equation. -6 + 6 + 6y = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -9 + 6 6y = -9 + 6 Combine like terms: -9 + 6 = -3 6y = -3 Divide each side by '6'. y = -0.5 Simplifying y = -0.5
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