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Simplifying 5 + -1(y + -3) = 14 + -4(y + 2) Reorder the terms: 5 + -1(-3 + y) = 14 + -4(y + 2) 5 + (-3 * -1 + y * -1) = 14 + -4(y + 2) 5 + (3 + -1y) = 14 + -4(y + 2) Combine like terms: 5 + 3 = 8 8 + -1y = 14 + -4(y + 2) Reorder the terms: 8 + -1y = 14 + -4(2 + y) 8 + -1y = 14 + (2 * -4 + y * -4) 8 + -1y = 14 + (-8 + -4y) Combine like terms: 14 + -8 = 6 8 + -1y = 6 + -4y Solving 8 + -1y = 6 + -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. 8 + -1y + 4y = 6 + -4y + 4y Combine like terms: -1y + 4y = 3y 8 + 3y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 3y = 6 + 0 8 + 3y = 6 Add '-8' to each side of the equation. 8 + -8 + 3y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 6 + -8 3y = 6 + -8 Combine like terms: 6 + -8 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667
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