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Simplifying -5(5y + -7) + 4(2y + 6) = 0 Reorder the terms: -5(-7 + 5y) + 4(2y + 6) = 0 (-7 * -5 + 5y * -5) + 4(2y + 6) = 0 (35 + -25y) + 4(2y + 6) = 0 Reorder the terms: 35 + -25y + 4(6 + 2y) = 0 35 + -25y + (6 * 4 + 2y * 4) = 0 35 + -25y + (24 + 8y) = 0 Reorder the terms: 35 + 24 + -25y + 8y = 0 Combine like terms: 35 + 24 = 59 59 + -25y + 8y = 0 Combine like terms: -25y + 8y = -17y 59 + -17y = 0 Solving 59 + -17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -17y = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -17y = 0 + -59 -17y = 0 + -59 Combine like terms: 0 + -59 = -59 -17y = -59 Divide each side by '-17'. y = 3.470588235 Simplifying y = 3.470588235
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