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Simplifying -9(y + 5) = 7y + -13 Reorder the terms: -9(5 + y) = 7y + -13 (5 * -9 + y * -9) = 7y + -13 (-45 + -9y) = 7y + -13 Reorder the terms: -45 + -9y = -13 + 7y Solving -45 + -9y = -13 + 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. -45 + -9y + -7y = -13 + 7y + -7y Combine like terms: -9y + -7y = -16y -45 + -16y = -13 + 7y + -7y Combine like terms: 7y + -7y = 0 -45 + -16y = -13 + 0 -45 + -16y = -13 Add '45' to each side of the equation. -45 + 45 + -16y = -13 + 45 Combine like terms: -45 + 45 = 0 0 + -16y = -13 + 45 -16y = -13 + 45 Combine like terms: -13 + 45 = 32 -16y = 32 Divide each side by '-16'. y = -2 Simplifying y = -2
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