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Simplifying 3(y + 8) + -4(y + -3) = 0 Reorder the terms: 3(8 + y) + -4(y + -3) = 0 (8 * 3 + y * 3) + -4(y + -3) = 0 (24 + 3y) + -4(y + -3) = 0 Reorder the terms: 24 + 3y + -4(-3 + y) = 0 24 + 3y + (-3 * -4 + y * -4) = 0 24 + 3y + (12 + -4y) = 0 Reorder the terms: 24 + 12 + 3y + -4y = 0 Combine like terms: 24 + 12 = 36 36 + 3y + -4y = 0 Combine like terms: 3y + -4y = -1y 36 + -1y = 0 Solving 36 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 0 + -36 -1y = 0 + -36 Combine like terms: 0 + -36 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36
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