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Simplifying 2(y + -3) + -3(y + 1) = 4 + -4(y + -1) Reorder the terms: 2(-3 + y) + -3(y + 1) = 4 + -4(y + -1) (-3 * 2 + y * 2) + -3(y + 1) = 4 + -4(y + -1) (-6 + 2y) + -3(y + 1) = 4 + -4(y + -1) Reorder the terms: -6 + 2y + -3(1 + y) = 4 + -4(y + -1) -6 + 2y + (1 * -3 + y * -3) = 4 + -4(y + -1) -6 + 2y + (-3 + -3y) = 4 + -4(y + -1) Reorder the terms: -6 + -3 + 2y + -3y = 4 + -4(y + -1) Combine like terms: -6 + -3 = -9 -9 + 2y + -3y = 4 + -4(y + -1) Combine like terms: 2y + -3y = -1y -9 + -1y = 4 + -4(y + -1) Reorder the terms: -9 + -1y = 4 + -4(-1 + y) -9 + -1y = 4 + (-1 * -4 + y * -4) -9 + -1y = 4 + (4 + -4y) Combine like terms: 4 + 4 = 8 -9 + -1y = 8 + -4y Solving -9 + -1y = 8 + -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 + -1y + 4y = 8 + -4y + 4y Combine like terms: -1y + 4y = 3y -9 + 3y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -9 + 3y = 8 + 0 -9 + 3y = 8 Add '9' to each side of the equation. -9 + 9 + 3y = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 8 + 9 3y = 8 + 9 Combine like terms: 8 + 9 = 17 3y = 17 Divide each side by '3'. y = 5.666666667 Simplifying y = 5.666666667
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