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Simplifying (y + 1) + -2 = 5(y + 1) Reorder the terms: (1 + y) + -2 = 5(y + 1) Remove parenthesis around (1 + y) 1 + y + -2 = 5(y + 1) Reorder the terms: 1 + -2 + y = 5(y + 1) Combine like terms: 1 + -2 = -1 -1 + y = 5(y + 1) Reorder the terms: -1 + y = 5(1 + y) -1 + y = (1 * 5 + y * 5) -1 + y = (5 + 5y) Solving -1 + y = 5 + 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. -1 + y + -5y = 5 + 5y + -5y Combine like terms: y + -5y = -4y -1 + -4y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -1 + -4y = 5 + 0 -1 + -4y = 5 Add '1' to each side of the equation. -1 + 1 + -4y = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 5 + 1 -4y = 5 + 1 Combine like terms: 5 + 1 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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