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Simplifying -2(5y + -1) = 4 + -12y + 18 Reorder the terms: -2(-1 + 5y) = 4 + -12y + 18 (-1 * -2 + 5y * -2) = 4 + -12y + 18 (2 + -10y) = 4 + -12y + 18 Reorder the terms: 2 + -10y = 4 + 18 + -12y Combine like terms: 4 + 18 = 22 2 + -10y = 22 + -12y Solving 2 + -10y = 22 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 2 + -10y + 12y = 22 + -12y + 12y Combine like terms: -10y + 12y = 2y 2 + 2y = 22 + -12y + 12y Combine like terms: -12y + 12y = 0 2 + 2y = 22 + 0 2 + 2y = 22 Add '-2' to each side of the equation. 2 + -2 + 2y = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 22 + -2 2y = 22 + -2 Combine like terms: 22 + -2 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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