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Simplifying 3(y + 4) + 7(y + -5) + 2 = 0 Reorder the terms: 3(4 + y) + 7(y + -5) + 2 = 0 (4 * 3 + y * 3) + 7(y + -5) + 2 = 0 (12 + 3y) + 7(y + -5) + 2 = 0 Reorder the terms: 12 + 3y + 7(-5 + y) + 2 = 0 12 + 3y + (-5 * 7 + y * 7) + 2 = 0 12 + 3y + (-35 + 7y) + 2 = 0 Reorder the terms: 12 + -35 + 2 + 3y + 7y = 0 Combine like terms: 12 + -35 = -23 -23 + 2 + 3y + 7y = 0 Combine like terms: -23 + 2 = -21 -21 + 3y + 7y = 0 Combine like terms: 3y + 7y = 10y -21 + 10y = 0 Solving -21 + 10y = 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 + 10y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 10y = 0 + 21 10y = 0 + 21 Combine like terms: 0 + 21 = 21 10y = 21 Divide each side by '10'. y = 2.1 Simplifying y = 2.1
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