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Simplifying y + -3(5 + -1y) + 2(y + -3) = 0 y + (5 * -3 + -1y * -3) + 2(y + -3) = 0 y + (-15 + 3y) + 2(y + -3) = 0 Reorder the terms: y + -15 + 3y + 2(-3 + y) = 0 y + -15 + 3y + (-3 * 2 + y * 2) = 0 y + -15 + 3y + (-6 + 2y) = 0 Reorder the terms: -15 + -6 + y + 3y + 2y = 0 Combine like terms: -15 + -6 = -21 -21 + y + 3y + 2y = 0 Combine like terms: y + 3y = 4y -21 + 4y + 2y = 0 Combine like terms: 4y + 2y = 6y -21 + 6y = 0 Solving -21 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 6y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = 0 + 21 6y = 0 + 21 Combine like terms: 0 + 21 = 21 6y = 21 Divide each side by '6'. y = 3.5 Simplifying y = 3.5
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