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Simplifying 3(7 + -1y) + -41 = 21y + -4(5 + 6y) (7 * 3 + -1y * 3) + -41 = 21y + -4(5 + 6y) (21 + -3y) + -41 = 21y + -4(5 + 6y) Reorder the terms: 21 + -41 + -3y = 21y + -4(5 + 6y) Combine like terms: 21 + -41 = -20 -20 + -3y = 21y + -4(5 + 6y) -20 + -3y = 21y + (5 * -4 + 6y * -4) -20 + -3y = 21y + (-20 + -24y) Reorder the terms: -20 + -3y = -20 + 21y + -24y Combine like terms: 21y + -24y = -3y -20 + -3y = -20 + -3y Add '20' to each side of the equation. -20 + 20 + -3y = -20 + 20 + -3y Combine like terms: -20 + 20 = 0 0 + -3y = -20 + 20 + -3y -3y = -20 + 20 + -3y Combine like terms: -20 + 20 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 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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