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Simplifying -5(15y + -1) = 2(7y + -16) + -1y Reorder the terms: -5(-1 + 15y) = 2(7y + -16) + -1y (-1 * -5 + 15y * -5) = 2(7y + -16) + -1y (5 + -75y) = 2(7y + -16) + -1y Reorder the terms: 5 + -75y = 2(-16 + 7y) + -1y 5 + -75y = (-16 * 2 + 7y * 2) + -1y 5 + -75y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y 5 + -75y = -32 + 13y Solving 5 + -75y = -32 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 5 + -75y + -13y = -32 + 13y + -13y Combine like terms: -75y + -13y = -88y 5 + -88y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 5 + -88y = -32 + 0 5 + -88y = -32 Add '-5' to each side of the equation. 5 + -5 + -88y = -32 + -5 Combine like terms: 5 + -5 = 0 0 + -88y = -32 + -5 -88y = -32 + -5 Combine like terms: -32 + -5 = -37 -88y = -37 Divide each side by '-88'. y = 0.4204545455 Simplifying y = 0.4204545455
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