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Simplifying -3(4y + -6) + -1y = -2(y + -3) Reorder the terms: -3(-6 + 4y) + -1y = -2(y + -3) (-6 * -3 + 4y * -3) + -1y = -2(y + -3) (18 + -12y) + -1y = -2(y + -3) Combine like terms: -12y + -1y = -13y 18 + -13y = -2(y + -3) Reorder the terms: 18 + -13y = -2(-3 + y) 18 + -13y = (-3 * -2 + y * -2) 18 + -13y = (6 + -2y) Solving 18 + -13y = 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. 18 + -13y + 2y = 6 + -2y + 2y Combine like terms: -13y + 2y = -11y 18 + -11y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + -11y = 6 + 0 18 + -11y = 6 Add '-18' to each side of the equation. 18 + -18 + -11y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -11y = 6 + -18 -11y = 6 + -18 Combine like terms: 6 + -18 = -12 -11y = -12 Divide each side by '-11'. y = 1.090909091 Simplifying y = 1.090909091
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