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Simplifying -1(10y + -7) + 2(4y + 9) = 0 Reorder the terms: -1(-7 + 10y) + 2(4y + 9) = 0 (-7 * -1 + 10y * -1) + 2(4y + 9) = 0 (7 + -10y) + 2(4y + 9) = 0 Reorder the terms: 7 + -10y + 2(9 + 4y) = 0 7 + -10y + (9 * 2 + 4y * 2) = 0 7 + -10y + (18 + 8y) = 0 Reorder the terms: 7 + 18 + -10y + 8y = 0 Combine like terms: 7 + 18 = 25 25 + -10y + 8y = 0 Combine like terms: -10y + 8y = -2y 25 + -2y = 0 Solving 25 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2y = 0 + -25 -2y = 0 + -25 Combine like terms: 0 + -25 = -25 -2y = -25 Divide each side by '-2'. y = 12.5 Simplifying y = 12.5
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