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Simplifying -5y + -12 = -3(y + 6) Reorder the terms: -12 + -5y = -3(y + 6) Reorder the terms: -12 + -5y = -3(6 + y) -12 + -5y = (6 * -3 + y * -3) -12 + -5y = (-18 + -3y) Solving -12 + -5y = -18 + -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. -12 + -5y + 3y = -18 + -3y + 3y Combine like terms: -5y + 3y = -2y -12 + -2y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + -2y = -18 + 0 -12 + -2y = -18 Add '12' to each side of the equation. -12 + 12 + -2y = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = -18 + 12 -2y = -18 + 12 Combine like terms: -18 + 12 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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