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Simplifying 8y + 3(y + -2) = 6(y + 1) + -4 Reorder the terms: 8y + 3(-2 + y) = 6(y + 1) + -4 8y + (-2 * 3 + y * 3) = 6(y + 1) + -4 8y + (-6 + 3y) = 6(y + 1) + -4 Reorder the terms: -6 + 8y + 3y = 6(y + 1) + -4 Combine like terms: 8y + 3y = 11y -6 + 11y = 6(y + 1) + -4 Reorder the terms: -6 + 11y = 6(1 + y) + -4 -6 + 11y = (1 * 6 + y * 6) + -4 -6 + 11y = (6 + 6y) + -4 Reorder the terms: -6 + 11y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -6 + 11y = 2 + 6y Solving -6 + 11y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -6 + 11y + -6y = 2 + 6y + -6y Combine like terms: 11y + -6y = 5y -6 + 5y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 5y = 2 + 0 -6 + 5y = 2 Add '6' to each side of the equation. -6 + 6 + 5y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 2 + 6 5y = 2 + 6 Combine like terms: 2 + 6 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6
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