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Simplifying 8y + 3(y + -6) = 4(y + 2) + -2 Reorder the terms: 8y + 3(-6 + y) = 4(y + 2) + -2 8y + (-6 * 3 + y * 3) = 4(y + 2) + -2 8y + (-18 + 3y) = 4(y + 2) + -2 Reorder the terms: -18 + 8y + 3y = 4(y + 2) + -2 Combine like terms: 8y + 3y = 11y -18 + 11y = 4(y + 2) + -2 Reorder the terms: -18 + 11y = 4(2 + y) + -2 -18 + 11y = (2 * 4 + y * 4) + -2 -18 + 11y = (8 + 4y) + -2 Reorder the terms: -18 + 11y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -18 + 11y = 6 + 4y Solving -18 + 11y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -18 + 11y + -4y = 6 + 4y + -4y Combine like terms: 11y + -4y = 7y -18 + 7y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 7y = 6 + 0 -18 + 7y = 6 Add '18' to each side of the equation. -18 + 18 + 7y = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 7y = 6 + 18 7y = 6 + 18 Combine like terms: 6 + 18 = 24 7y = 24 Divide each side by '7'. y = 3.428571429 Simplifying y = 3.428571429
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