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Simplifying -2y + 2 = -3(2y + 6) Reorder the terms: 2 + -2y = -3(2y + 6) Reorder the terms: 2 + -2y = -3(6 + 2y) 2 + -2y = (6 * -3 + 2y * -3) 2 + -2y = (-18 + -6y) Solving 2 + -2y = -18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 2 + -2y + 6y = -18 + -6y + 6y Combine like terms: -2y + 6y = 4y 2 + 4y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 2 + 4y = -18 + 0 2 + 4y = -18 Add '-2' to each side of the equation. 2 + -2 + 4y = -18 + -2 Combine like terms: 2 + -2 = 0 0 + 4y = -18 + -2 4y = -18 + -2 Combine like terms: -18 + -2 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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