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Simplifying 8y + 3(y + -4) = 6(y + 1) + -2 Reorder the terms: 8y + 3(-4 + y) = 6(y + 1) + -2 8y + (-4 * 3 + y * 3) = 6(y + 1) + -2 8y + (-12 + 3y) = 6(y + 1) + -2 Reorder the terms: -12 + 8y + 3y = 6(y + 1) + -2 Combine like terms: 8y + 3y = 11y -12 + 11y = 6(y + 1) + -2 Reorder the terms: -12 + 11y = 6(1 + y) + -2 -12 + 11y = (1 * 6 + y * 6) + -2 -12 + 11y = (6 + 6y) + -2 Reorder the terms: -12 + 11y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -12 + 11y = 4 + 6y Solving -12 + 11y = 4 + 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. -12 + 11y + -6y = 4 + 6y + -6y Combine like terms: 11y + -6y = 5y -12 + 5y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 5y = 4 + 0 -12 + 5y = 4 Add '12' to each side of the equation. -12 + 12 + 5y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 4 + 12 5y = 4 + 12 Combine like terms: 4 + 12 = 16 5y = 16 Divide each side by '5'. y = 3.2 Simplifying y = 3.2
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