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Simplifying -2(y + 1) + 5y = 3(y + 1) + -2 Reorder the terms: -2(1 + y) + 5y = 3(y + 1) + -2 (1 * -2 + y * -2) + 5y = 3(y + 1) + -2 (-2 + -2y) + 5y = 3(y + 1) + -2 Combine like terms: -2y + 5y = 3y -2 + 3y = 3(y + 1) + -2 Reorder the terms: -2 + 3y = 3(1 + y) + -2 -2 + 3y = (1 * 3 + y * 3) + -2 -2 + 3y = (3 + 3y) + -2 Reorder the terms: -2 + 3y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -2 + 3y = 1 + 3y Add '-3y' to each side of the equation. -2 + 3y + -3y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 0 = 1 + 3y + -3y -2 = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 = 1 + 0 -2 = 1 Solving -2 = 1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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