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Simplifying -5(5y + -7) + 3(4y + 10) = 0 Reorder the terms: -5(-7 + 5y) + 3(4y + 10) = 0 (-7 * -5 + 5y * -5) + 3(4y + 10) = 0 (35 + -25y) + 3(4y + 10) = 0 Reorder the terms: 35 + -25y + 3(10 + 4y) = 0 35 + -25y + (10 * 3 + 4y * 3) = 0 35 + -25y + (30 + 12y) = 0 Reorder the terms: 35 + 30 + -25y + 12y = 0 Combine like terms: 35 + 30 = 65 65 + -25y + 12y = 0 Combine like terms: -25y + 12y = -13y 65 + -13y = 0 Solving 65 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -13y = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -13y = 0 + -65 -13y = 0 + -65 Combine like terms: 0 + -65 = -65 -13y = -65 Divide each side by '-13'. y = 5 Simplifying y = 5
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