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Simplifying 4 + -3(y + -1) = 5y + (y + -2) Reorder the terms: 4 + -3(-1 + y) = 5y + (y + -2) 4 + (-1 * -3 + y * -3) = 5y + (y + -2) 4 + (3 + -3y) = 5y + (y + -2) Combine like terms: 4 + 3 = 7 7 + -3y = 5y + (y + -2) Reorder the terms: 7 + -3y = 5y + (-2 + y) Remove parenthesis around (-2 + y) 7 + -3y = 5y + -2 + y Reorder the terms: 7 + -3y = -2 + 5y + y Combine like terms: 5y + y = 6y 7 + -3y = -2 + 6y Solving 7 + -3y = -2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + -3y + -6y = -2 + 6y + -6y Combine like terms: -3y + -6y = -9y 7 + -9y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -9y = -2 + 0 7 + -9y = -2 Add '-7' to each side of the equation. 7 + -7 + -9y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -9y = -2 + -7 -9y = -2 + -7 Combine like terms: -2 + -7 = -9 -9y = -9 Divide each side by '-9'. y = 1 Simplifying y = 1
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