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Simplifying 7(3y + -5) + 2(4y + 3) = 0 Reorder the terms: 7(-5 + 3y) + 2(4y + 3) = 0 (-5 * 7 + 3y * 7) + 2(4y + 3) = 0 (-35 + 21y) + 2(4y + 3) = 0 Reorder the terms: -35 + 21y + 2(3 + 4y) = 0 -35 + 21y + (3 * 2 + 4y * 2) = 0 -35 + 21y + (6 + 8y) = 0 Reorder the terms: -35 + 6 + 21y + 8y = 0 Combine like terms: -35 + 6 = -29 -29 + 21y + 8y = 0 Combine like terms: 21y + 8y = 29y -29 + 29y = 0 Solving -29 + 29y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 29y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 29y = 0 + 29 29y = 0 + 29 Combine like terms: 0 + 29 = 29 29y = 29 Divide each side by '29'. y = 1 Simplifying y = 1
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