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Simplifying -6 + -2y = 4(y + 3) Reorder the terms: -6 + -2y = 4(3 + y) -6 + -2y = (3 * 4 + y * 4) -6 + -2y = (12 + 4y) Solving -6 + -2y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + -2y + -4y = 12 + 4y + -4y Combine like terms: -2y + -4y = -6y -6 + -6y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + -6y = 12 + 0 -6 + -6y = 12 Add '6' to each side of the equation. -6 + 6 + -6y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = 12 + 6 -6y = 12 + 6 Combine like terms: 12 + 6 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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