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