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Simplifying -3(y + -5) = -7y + 7 Reorder the terms: -3(-5 + y) = -7y + 7 (-5 * -3 + y * -3) = -7y + 7 (15 + -3y) = -7y + 7 Reorder the terms: 15 + -3y = 7 + -7y Solving 15 + -3y = 7 + -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 + -3y + 7y = 7 + -7y + 7y Combine like terms: -3y + 7y = 4y 15 + 4y = 7 + -7y + 7y Combine like terms: -7y + 7y = 0 15 + 4y = 7 + 0 15 + 4y = 7 Add '-15' to each side of the equation. 15 + -15 + 4y = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = 7 + -15 4y = 7 + -15 Combine like terms: 7 + -15 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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