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Simplifying -3(2y + 5) = 7(y + -1) Reorder the terms: -3(5 + 2y) = 7(y + -1) (5 * -3 + 2y * -3) = 7(y + -1) (-15 + -6y) = 7(y + -1) Reorder the terms: -15 + -6y = 7(-1 + y) -15 + -6y = (-1 * 7 + y * 7) -15 + -6y = (-7 + 7y) Solving -15 + -6y = -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 + -6y + -7y = -7 + 7y + -7y Combine like terms: -6y + -7y = -13y -15 + -13y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 -15 + -13y = -7 + 0 -15 + -13y = -7 Add '15' to each side of the equation. -15 + 15 + -13y = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -13y = -7 + 15 -13y = -7 + 15 Combine like terms: -7 + 15 = 8 -13y = 8 Divide each side by '-13'. y = -0.6153846154 Simplifying y = -0.6153846154
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