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Simplifying -3(y + 5) = 3(y + -1) Reorder the terms: -3(5 + y) = 3(y + -1) (5 * -3 + y * -3) = 3(y + -1) (-15 + -3y) = 3(y + -1) Reorder the terms: -15 + -3y = 3(-1 + y) -15 + -3y = (-1 * 3 + y * 3) -15 + -3y = (-3 + 3y) Solving -15 + -3y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + -3y + -3y = -3 + 3y + -3y Combine like terms: -3y + -3y = -6y -15 + -6y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + -6y = -3 + 0 -15 + -6y = -3 Add '15' to each side of the equation. -15 + 15 + -6y = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = -3 + 15 -6y = -3 + 15 Combine like terms: -3 + 15 = 12 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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