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Simplifying 3(y + -5) = 5(y + 4) Reorder the terms: 3(-5 + y) = 5(y + 4) (-5 * 3 + y * 3) = 5(y + 4) (-15 + 3y) = 5(y + 4) Reorder the terms: -15 + 3y = 5(4 + y) -15 + 3y = (4 * 5 + y * 5) -15 + 3y = (20 + 5y) Solving -15 + 3y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -15 + 3y + -5y = 20 + 5y + -5y Combine like terms: 3y + -5y = -2y -15 + -2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + -2y = 20 + 0 -15 + -2y = 20 Add '15' to each side of the equation. -15 + 15 + -2y = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -2y = 20 + 15 -2y = 20 + 15 Combine like terms: 20 + 15 = 35 -2y = 35 Divide each side by '-2'. y = -17.5 Simplifying y = -17.5
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