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Simplifying 5(8 + -1y) + -58 = 19y + -6(3 + 4y) (8 * 5 + -1y * 5) + -58 = 19y + -6(3 + 4y) (40 + -5y) + -58 = 19y + -6(3 + 4y) Reorder the terms: 40 + -58 + -5y = 19y + -6(3 + 4y) Combine like terms: 40 + -58 = -18 -18 + -5y = 19y + -6(3 + 4y) -18 + -5y = 19y + (3 * -6 + 4y * -6) -18 + -5y = 19y + (-18 + -24y) Reorder the terms: -18 + -5y = -18 + 19y + -24y Combine like terms: 19y + -24y = -5y -18 + -5y = -18 + -5y Add '18' to each side of the equation. -18 + 18 + -5y = -18 + 18 + -5y Combine like terms: -18 + 18 = 0 0 + -5y = -18 + 18 + -5y -5y = -18 + 18 + -5y Combine like terms: -18 + 18 = 0 -5y = 0 + -5y -5y = -5y Add '5y' to each side of the equation. -5y + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 0 = -5y + 5y Combine like terms: -5y + 5y = 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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