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Simplifying -5(5y + -10) + -1y = -3(y + -4) Reorder the terms: -5(-10 + 5y) + -1y = -3(y + -4) (-10 * -5 + 5y * -5) + -1y = -3(y + -4) (50 + -25y) + -1y = -3(y + -4) Combine like terms: -25y + -1y = -26y 50 + -26y = -3(y + -4) Reorder the terms: 50 + -26y = -3(-4 + y) 50 + -26y = (-4 * -3 + y * -3) 50 + -26y = (12 + -3y) Solving 50 + -26y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 50 + -26y + 3y = 12 + -3y + 3y Combine like terms: -26y + 3y = -23y 50 + -23y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 50 + -23y = 12 + 0 50 + -23y = 12 Add '-50' to each side of the equation. 50 + -50 + -23y = 12 + -50 Combine like terms: 50 + -50 = 0 0 + -23y = 12 + -50 -23y = 12 + -50 Combine like terms: 12 + -50 = -38 -23y = -38 Divide each side by '-23'. y = 1.652173913 Simplifying y = 1.652173913
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