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Simplifying 5 + -4(y + -1) = 3y + (y + -2) Reorder the terms: 5 + -4(-1 + y) = 3y + (y + -2) 5 + (-1 * -4 + y * -4) = 3y + (y + -2) 5 + (4 + -4y) = 3y + (y + -2) Combine like terms: 5 + 4 = 9 9 + -4y = 3y + (y + -2) Reorder the terms: 9 + -4y = 3y + (-2 + y) Remove parenthesis around (-2 + y) 9 + -4y = 3y + -2 + y Reorder the terms: 9 + -4y = -2 + 3y + y Combine like terms: 3y + y = 4y 9 + -4y = -2 + 4y Solving 9 + -4y = -2 + 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 + -4y + -4y = -2 + 4y + -4y Combine like terms: -4y + -4y = -8y 9 + -8y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + -8y = -2 + 0 9 + -8y = -2 Add '-9' to each side of the equation. 9 + -9 + -8y = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = -2 + -9 -8y = -2 + -9 Combine like terms: -2 + -9 = -11 -8y = -11 Divide each side by '-8'. y = 1.375 Simplifying y = 1.375
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