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Simplifying -3(2y + -5) = -7(y + -2) Reorder the terms: -3(-5 + 2y) = -7(y + -2) (-5 * -3 + 2y * -3) = -7(y + -2) (15 + -6y) = -7(y + -2) Reorder the terms: 15 + -6y = -7(-2 + y) 15 + -6y = (-2 * -7 + y * -7) 15 + -6y = (14 + -7y) Solving 15 + -6y = 14 + -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 + -6y + 7y = 14 + -7y + 7y Combine like terms: -6y + 7y = 1y 15 + 1y = 14 + -7y + 7y Combine like terms: -7y + 7y = 0 15 + 1y = 14 + 0 15 + 1y = 14 Add '-15' to each side of the equation. 15 + -15 + 1y = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 14 + -15 1y = 14 + -15 Combine like terms: 14 + -15 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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