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Simplifying 7(y + -3) = 5(15 + -1y) Reorder the terms: 7(-3 + y) = 5(15 + -1y) (-3 * 7 + y * 7) = 5(15 + -1y) (-21 + 7y) = 5(15 + -1y) -21 + 7y = (15 * 5 + -1y * 5) -21 + 7y = (75 + -5y) Solving -21 + 7y = 75 + -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. -21 + 7y + 5y = 75 + -5y + 5y Combine like terms: 7y + 5y = 12y -21 + 12y = 75 + -5y + 5y Combine like terms: -5y + 5y = 0 -21 + 12y = 75 + 0 -21 + 12y = 75 Add '21' to each side of the equation. -21 + 21 + 12y = 75 + 21 Combine like terms: -21 + 21 = 0 0 + 12y = 75 + 21 12y = 75 + 21 Combine like terms: 75 + 21 = 96 12y = 96 Divide each side by '12'. y = 8 Simplifying y = 8
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