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Simplifying 5(7 + -2y) + 7 = 6(7 + -2y) + 2y (7 * 5 + -2y * 5) + 7 = 6(7 + -2y) + 2y (35 + -10y) + 7 = 6(7 + -2y) + 2y Reorder the terms: 35 + 7 + -10y = 6(7 + -2y) + 2y Combine like terms: 35 + 7 = 42 42 + -10y = 6(7 + -2y) + 2y 42 + -10y = (7 * 6 + -2y * 6) + 2y 42 + -10y = (42 + -12y) + 2y Combine like terms: -12y + 2y = -10y 42 + -10y = 42 + -10y Add '-42' to each side of the equation. 42 + -42 + -10y = 42 + -42 + -10y Combine like terms: 42 + -42 = 0 0 + -10y = 42 + -42 + -10y -10y = 42 + -42 + -10y Combine like terms: 42 + -42 = 0 -10y = 0 + -10y -10y = -10y Add '10y' to each side of the equation. -10y + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 0 = -10y + 10y Combine like terms: -10y + 10y = 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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