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Simplifying 3(y + -23) + 3(y + -2) = 21 Reorder the terms: 3(-23 + y) + 3(y + -2) = 21 (-23 * 3 + y * 3) + 3(y + -2) = 21 (-69 + 3y) + 3(y + -2) = 21 Reorder the terms: -69 + 3y + 3(-2 + y) = 21 -69 + 3y + (-2 * 3 + y * 3) = 21 -69 + 3y + (-6 + 3y) = 21 Reorder the terms: -69 + -6 + 3y + 3y = 21 Combine like terms: -69 + -6 = -75 -75 + 3y + 3y = 21 Combine like terms: 3y + 3y = 6y -75 + 6y = 21 Solving -75 + 6y = 21 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 6y = 21 + 75 Combine like terms: -75 + 75 = 0 0 + 6y = 21 + 75 6y = 21 + 75 Combine like terms: 21 + 75 = 96 6y = 96 Divide each side by '6'. y = 16 Simplifying y = 16
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