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Simplifying -15(7y + -32) = 14y + -7 Reorder the terms: -15(-32 + 7y) = 14y + -7 (-32 * -15 + 7y * -15) = 14y + -7 (480 + -105y) = 14y + -7 Reorder the terms: 480 + -105y = -7 + 14y Solving 480 + -105y = -7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 480 + -105y + -14y = -7 + 14y + -14y Combine like terms: -105y + -14y = -119y 480 + -119y = -7 + 14y + -14y Combine like terms: 14y + -14y = 0 480 + -119y = -7 + 0 480 + -119y = -7 Add '-480' to each side of the equation. 480 + -480 + -119y = -7 + -480 Combine like terms: 480 + -480 = 0 0 + -119y = -7 + -480 -119y = -7 + -480 Combine like terms: -7 + -480 = -487 -119y = -487 Divide each side by '-119'. y = 4.092436975 Simplifying y = 4.092436975
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