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Simplifying Y + 3(y + -6) = 4y + 2 Reorder the terms: Y + 3(-6 + y) = 4y + 2 Y + (-6 * 3 + y * 3) = 4y + 2 Y + (-18 + 3y) = 4y + 2 Reorder the terms: -18 + Y + 3y = 4y + 2 Reorder the terms: -18 + Y + 3y = 2 + 4y Solving -18 + Y + 3y = 2 + 4y 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 + Y + 18 + 3y = 2 + 18 + 4y Reorder the terms: -18 + 18 + Y + 3y = 2 + 18 + 4y Combine like terms: -18 + 18 = 0 0 + Y + 3y = 2 + 18 + 4y Y + 3y = 2 + 18 + 4y Combine like terms: 2 + 18 = 20 Y + 3y = 20 + 4y Add '-3y' to each side of the equation. Y + 3y + -3y = 20 + 4y + -3y Combine like terms: 3y + -3y = 0 Y + 0 = 20 + 4y + -3y Y = 20 + 4y + -3y Combine like terms: 4y + -3y = 1y Y = 20 + 1y Simplifying Y = 20 + 1y
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