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Simplifying (y + 1) + -3 = 4 + -1(y + -2) Reorder the terms: (1 + y) + -3 = 4 + -1(y + -2) Remove parenthesis around (1 + y) 1 + y + -3 = 4 + -1(y + -2) Reorder the terms: 1 + -3 + y = 4 + -1(y + -2) Combine like terms: 1 + -3 = -2 -2 + y = 4 + -1(y + -2) Reorder the terms: -2 + y = 4 + -1(-2 + y) -2 + y = 4 + (-2 * -1 + y * -1) -2 + y = 4 + (2 + -1y) Combine like terms: 4 + 2 = 6 -2 + y = 6 + -1y Solving -2 + y = 6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -2 + y + y = 6 + -1y + y Combine like terms: y + y = 2y -2 + 2y = 6 + -1y + y Combine like terms: -1y + y = 0 -2 + 2y = 6 + 0 -2 + 2y = 6 Add '2' to each side of the equation. -2 + 2 + 2y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 6 + 2 2y = 6 + 2 Combine like terms: 6 + 2 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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