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Simplifying -4(5y + -6) + 3(4y + 6) = 42 + -8y Reorder the terms: -4(-6 + 5y) + 3(4y + 6) = 42 + -8y (-6 * -4 + 5y * -4) + 3(4y + 6) = 42 + -8y (24 + -20y) + 3(4y + 6) = 42 + -8y Reorder the terms: 24 + -20y + 3(6 + 4y) = 42 + -8y 24 + -20y + (6 * 3 + 4y * 3) = 42 + -8y 24 + -20y + (18 + 12y) = 42 + -8y Reorder the terms: 24 + 18 + -20y + 12y = 42 + -8y Combine like terms: 24 + 18 = 42 42 + -20y + 12y = 42 + -8y Combine like terms: -20y + 12y = -8y 42 + -8y = 42 + -8y Add '-42' to each side of the equation. 42 + -42 + -8y = 42 + -42 + -8y Combine like terms: 42 + -42 = 0 0 + -8y = 42 + -42 + -8y -8y = 42 + -42 + -8y Combine like terms: 42 + -42 = 0 -8y = 0 + -8y -8y = -8y Add '8y' to each side of the equation. -8y + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 0 = -8y + 8y Combine like terms: -8y + 8y = 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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