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Simplifying -6 + -3(2y + 1) = 1 + -4(y + -3) Reorder the terms: -6 + -3(1 + 2y) = 1 + -4(y + -3) -6 + (1 * -3 + 2y * -3) = 1 + -4(y + -3) -6 + (-3 + -6y) = 1 + -4(y + -3) Combine like terms: -6 + -3 = -9 -9 + -6y = 1 + -4(y + -3) Reorder the terms: -9 + -6y = 1 + -4(-3 + y) -9 + -6y = 1 + (-3 * -4 + y * -4) -9 + -6y = 1 + (12 + -4y) Combine like terms: 1 + 12 = 13 -9 + -6y = 13 + -4y Solving -9 + -6y = 13 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -9 + -6y + 4y = 13 + -4y + 4y Combine like terms: -6y + 4y = -2y -9 + -2y = 13 + -4y + 4y Combine like terms: -4y + 4y = 0 -9 + -2y = 13 + 0 -9 + -2y = 13 Add '9' to each side of the equation. -9 + 9 + -2y = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 13 + 9 -2y = 13 + 9 Combine like terms: 13 + 9 = 22 -2y = 22 Divide each side by '-2'. y = -11 Simplifying y = -11
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