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Simplifying 8y + 3(y + 6) = 4(6 + 2) + -4 Reorder the terms: 8y + 3(6 + y) = 4(6 + 2) + -4 8y + (6 * 3 + y * 3) = 4(6 + 2) + -4 8y + (18 + 3y) = 4(6 + 2) + -4 Reorder the terms: 18 + 8y + 3y = 4(6 + 2) + -4 Combine like terms: 8y + 3y = 11y 18 + 11y = 4(6 + 2) + -4 Combine like terms: 6 + 2 = 8 18 + 11y = 4(8) + -4 Multiply 4 * 8 18 + 11y = 32 + -4 Combine like terms: 32 + -4 = 28 18 + 11y = 28 Solving 18 + 11y = 28 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11y = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 11y = 28 + -18 11y = 28 + -18 Combine like terms: 28 + -18 = 10 11y = 10 Divide each side by '11'. y = 0.9090909091 Simplifying y = 0.9090909091
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