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Simplifying 7(3y + -6) + 4(2y + 5) = 0 Reorder the terms: 7(-6 + 3y) + 4(2y + 5) = 0 (-6 * 7 + 3y * 7) + 4(2y + 5) = 0 (-42 + 21y) + 4(2y + 5) = 0 Reorder the terms: -42 + 21y + 4(5 + 2y) = 0 -42 + 21y + (5 * 4 + 2y * 4) = 0 -42 + 21y + (20 + 8y) = 0 Reorder the terms: -42 + 20 + 21y + 8y = 0 Combine like terms: -42 + 20 = -22 -22 + 21y + 8y = 0 Combine like terms: 21y + 8y = 29y -22 + 29y = 0 Solving -22 + 29y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 29y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 29y = 0 + 22 29y = 0 + 22 Combine like terms: 0 + 22 = 22 29y = 22 Divide each side by '29'. y = 0.7586206897 Simplifying y = 0.7586206897
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