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Simplifying 4(y + 1) + -7 = 3(y + -1) + y Reorder the terms: 4(1 + y) + -7 = 3(y + -1) + y (1 * 4 + y * 4) + -7 = 3(y + -1) + y (4 + 4y) + -7 = 3(y + -1) + y Reorder the terms: 4 + -7 + 4y = 3(y + -1) + y Combine like terms: 4 + -7 = -3 -3 + 4y = 3(y + -1) + y Reorder the terms: -3 + 4y = 3(-1 + y) + y -3 + 4y = (-1 * 3 + y * 3) + y -3 + 4y = (-3 + 3y) + y Combine like terms: 3y + y = 4y -3 + 4y = -3 + 4y Add '3' to each side of the equation. -3 + 3 + 4y = -3 + 3 + 4y Combine like terms: -3 + 3 = 0 0 + 4y = -3 + 3 + 4y 4y = -3 + 3 + 4y Combine like terms: -3 + 3 = 0 4y = 0 + 4y 4y = 4y Add '-4y' to each side of the equation. 4y + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 0 = 4y + -4y Combine like terms: 4y + -4y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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