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