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Simplifying 4(y + 1) + -6(y + -2) = 10y + 16 + -12y Reorder the terms: 4(1 + y) + -6(y + -2) = 10y + 16 + -12y (1 * 4 + y * 4) + -6(y + -2) = 10y + 16 + -12y (4 + 4y) + -6(y + -2) = 10y + 16 + -12y Reorder the terms: 4 + 4y + -6(-2 + y) = 10y + 16 + -12y 4 + 4y + (-2 * -6 + y * -6) = 10y + 16 + -12y 4 + 4y + (12 + -6y) = 10y + 16 + -12y Reorder the terms: 4 + 12 + 4y + -6y = 10y + 16 + -12y Combine like terms: 4 + 12 = 16 16 + 4y + -6y = 10y + 16 + -12y Combine like terms: 4y + -6y = -2y 16 + -2y = 10y + 16 + -12y Reorder the terms: 16 + -2y = 16 + 10y + -12y Combine like terms: 10y + -12y = -2y 16 + -2y = 16 + -2y Add '-16' to each side of the equation. 16 + -16 + -2y = 16 + -16 + -2y Combine like terms: 16 + -16 = 0 0 + -2y = 16 + -16 + -2y -2y = 16 + -16 + -2y Combine like terms: 16 + -16 = 0 -2y = 0 + -2y -2y = -2y Add '2y' to each side of the equation. -2y + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 0 = -2y + 2y Combine like terms: -2y + 2y = 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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