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Simplifying -4(y + 6) + 2(y + 2) = 18 Reorder the terms: -4(6 + y) + 2(y + 2) = 18 (6 * -4 + y * -4) + 2(y + 2) = 18 (-24 + -4y) + 2(y + 2) = 18 Reorder the terms: -24 + -4y + 2(2 + y) = 18 -24 + -4y + (2 * 2 + y * 2) = 18 -24 + -4y + (4 + 2y) = 18 Reorder the terms: -24 + 4 + -4y + 2y = 18 Combine like terms: -24 + 4 = -20 -20 + -4y + 2y = 18 Combine like terms: -4y + 2y = -2y -20 + -2y = 18 Solving -20 + -2y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2y = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = 18 + 20 -2y = 18 + 20 Combine like terms: 18 + 20 = 38 -2y = 38 Divide each side by '-2'. y = -19 Simplifying y = -19
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