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Simplifying -5(y + 6) + 3y = 12 Reorder the terms: -5(6 + y) + 3y = 12 (6 * -5 + y * -5) + 3y = 12 (-30 + -5y) + 3y = 12 Combine like terms: -5y + 3y = -2y -30 + -2y = 12 Solving -30 + -2y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2y = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = 12 + 30 -2y = 12 + 30 Combine like terms: 12 + 30 = 42 -2y = 42 Divide each side by '-2'. y = -21 Simplifying y = -21
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