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Simplifying -2(2y + -6) + -1y = -2(y + -3) Reorder the terms: -2(-6 + 2y) + -1y = -2(y + -3) (-6 * -2 + 2y * -2) + -1y = -2(y + -3) (12 + -4y) + -1y = -2(y + -3) Combine like terms: -4y + -1y = -5y 12 + -5y = -2(y + -3) Reorder the terms: 12 + -5y = -2(-3 + y) 12 + -5y = (-3 * -2 + y * -2) 12 + -5y = (6 + -2y) Solving 12 + -5y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + -5y + 2y = 6 + -2y + 2y Combine like terms: -5y + 2y = -3y 12 + -3y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -3y = 6 + 0 12 + -3y = 6 Add '-12' to each side of the equation. 12 + -12 + -3y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 6 + -12 -3y = 6 + -12 Combine like terms: 6 + -12 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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