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Simplifying 10(7y + -7) + 10(9 + -5y) = 0 Reorder the terms: 10(-7 + 7y) + 10(9 + -5y) = 0 (-7 * 10 + 7y * 10) + 10(9 + -5y) = 0 (-70 + 70y) + 10(9 + -5y) = 0 -70 + 70y + (9 * 10 + -5y * 10) = 0 -70 + 70y + (90 + -50y) = 0 Reorder the terms: -70 + 90 + 70y + -50y = 0 Combine like terms: -70 + 90 = 20 20 + 70y + -50y = 0 Combine like terms: 70y + -50y = 20y 20 + 20y = 0 Solving 20 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 20y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 20y = 0 + -20 20y = 0 + -20 Combine like terms: 0 + -20 = -20 20y = -20 Divide each side by '20'. y = -1 Simplifying y = -1
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