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Simplifying 3(y + -21) + 2(y + -4) = 24 Reorder the terms: 3(-21 + y) + 2(y + -4) = 24 (-21 * 3 + y * 3) + 2(y + -4) = 24 (-63 + 3y) + 2(y + -4) = 24 Reorder the terms: -63 + 3y + 2(-4 + y) = 24 -63 + 3y + (-4 * 2 + y * 2) = 24 -63 + 3y + (-8 + 2y) = 24 Reorder the terms: -63 + -8 + 3y + 2y = 24 Combine like terms: -63 + -8 = -71 -71 + 3y + 2y = 24 Combine like terms: 3y + 2y = 5y -71 + 5y = 24 Solving -71 + 5y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 5y = 24 + 71 Combine like terms: -71 + 71 = 0 0 + 5y = 24 + 71 5y = 24 + 71 Combine like terms: 24 + 71 = 95 5y = 95 Divide each side by '5'. y = 19 Simplifying y = 19
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