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