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Simplifying -5(y + -3) = 7y + -45 Reorder the terms: -5(-3 + y) = 7y + -45 (-3 * -5 + y * -5) = 7y + -45 (15 + -5y) = 7y + -45 Reorder the terms: 15 + -5y = -45 + 7y Solving 15 + -5y = -45 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 15 + -5y + -7y = -45 + 7y + -7y Combine like terms: -5y + -7y = -12y 15 + -12y = -45 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -12y = -45 + 0 15 + -12y = -45 Add '-15' to each side of the equation. 15 + -15 + -12y = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -12y = -45 + -15 -12y = -45 + -15 Combine like terms: -45 + -15 = -60 -12y = -60 Divide each side by '-12'. y = 5 Simplifying y = 5
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