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Simplifying -9y + -1(2y + 6) = 3(y + 4) + -1y Reorder the terms: -9y + -1(6 + 2y) = 3(y + 4) + -1y -9y + (6 * -1 + 2y * -1) = 3(y + 4) + -1y -9y + (-6 + -2y) = 3(y + 4) + -1y Reorder the terms: -6 + -9y + -2y = 3(y + 4) + -1y Combine like terms: -9y + -2y = -11y -6 + -11y = 3(y + 4) + -1y Reorder the terms: -6 + -11y = 3(4 + y) + -1y -6 + -11y = (4 * 3 + y * 3) + -1y -6 + -11y = (12 + 3y) + -1y Combine like terms: 3y + -1y = 2y -6 + -11y = 12 + 2y Solving -6 + -11y = 12 + 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. -6 + -11y + -2y = 12 + 2y + -2y Combine like terms: -11y + -2y = -13y -6 + -13y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -13y = 12 + 0 -6 + -13y = 12 Add '6' to each side of the equation. -6 + 6 + -13y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -13y = 12 + 6 -13y = 12 + 6 Combine like terms: 12 + 6 = 18 -13y = 18 Divide each side by '-13'. y = -1.384615385 Simplifying y = -1.384615385
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