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Simplifying 3(9 + -1y) + -42 = 17y + -5(3 + 4y) (9 * 3 + -1y * 3) + -42 = 17y + -5(3 + 4y) (27 + -3y) + -42 = 17y + -5(3 + 4y) Reorder the terms: 27 + -42 + -3y = 17y + -5(3 + 4y) Combine like terms: 27 + -42 = -15 -15 + -3y = 17y + -5(3 + 4y) -15 + -3y = 17y + (3 * -5 + 4y * -5) -15 + -3y = 17y + (-15 + -20y) Reorder the terms: -15 + -3y = -15 + 17y + -20y Combine like terms: 17y + -20y = -3y -15 + -3y = -15 + -3y Add '15' to each side of the equation. -15 + 15 + -3y = -15 + 15 + -3y Combine like terms: -15 + 15 = 0 0 + -3y = -15 + 15 + -3y -3y = -15 + 15 + -3y Combine like terms: -15 + 15 = 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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