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Simplifying 7(1 + -1y) = -3(y + -5) (1 * 7 + -1y * 7) = -3(y + -5) (7 + -7y) = -3(y + -5) Reorder the terms: 7 + -7y = -3(-5 + y) 7 + -7y = (-5 * -3 + y * -3) 7 + -7y = (15 + -3y) Solving 7 + -7y = 15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 7 + -7y + 3y = 15 + -3y + 3y Combine like terms: -7y + 3y = -4y 7 + -4y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + -4y = 15 + 0 7 + -4y = 15 Add '-7' to each side of the equation. 7 + -7 + -4y = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 15 + -7 -4y = 15 + -7 Combine like terms: 15 + -7 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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