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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 = -13y 15 + -13y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -13y = -14 + 0 15 + -13y = -14 Add '-15' to each side of the equation. 15 + -15 + -13y = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -13y = -14 + -15 -13y = -14 + -15 Combine like terms: -14 + -15 = -29 -13y = -29 Divide each side by '-13'. y = 2.230769231 Simplifying y = 2.230769231
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