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Simplifying 7(7y + -7) + -1(2y + 9) = 0 Reorder the terms: 7(-7 + 7y) + -1(2y + 9) = 0 (-7 * 7 + 7y * 7) + -1(2y + 9) = 0 (-49 + 49y) + -1(2y + 9) = 0 Reorder the terms: -49 + 49y + -1(9 + 2y) = 0 -49 + 49y + (9 * -1 + 2y * -1) = 0 -49 + 49y + (-9 + -2y) = 0 Reorder the terms: -49 + -9 + 49y + -2y = 0 Combine like terms: -49 + -9 = -58 -58 + 49y + -2y = 0 Combine like terms: 49y + -2y = 47y -58 + 47y = 0 Solving -58 + 47y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 47y = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 47y = 0 + 58 47y = 0 + 58 Combine like terms: 0 + 58 = 58 47y = 58 Divide each side by '47'. y = 1.234042553 Simplifying y = 1.234042553
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