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Simplifying -5(5y + -10) + 4(2y + 6) = 0 Reorder the terms: -5(-10 + 5y) + 4(2y + 6) = 0 (-10 * -5 + 5y * -5) + 4(2y + 6) = 0 (50 + -25y) + 4(2y + 6) = 0 Reorder the terms: 50 + -25y + 4(6 + 2y) = 0 50 + -25y + (6 * 4 + 2y * 4) = 0 50 + -25y + (24 + 8y) = 0 Reorder the terms: 50 + 24 + -25y + 8y = 0 Combine like terms: 50 + 24 = 74 74 + -25y + 8y = 0 Combine like terms: -25y + 8y = -17y 74 + -17y = 0 Solving 74 + -17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -17y = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -17y = 0 + -74 -17y = 0 + -74 Combine like terms: 0 + -74 = -74 -17y = -74 Divide each side by '-17'. y = 4.352941176 Simplifying y = 4.352941176
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