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Simplifying 8(1 + -2y) + 5 = 3(1 + -2y) + -10y + 10 (1 * 8 + -2y * 8) + 5 = 3(1 + -2y) + -10y + 10 (8 + -16y) + 5 = 3(1 + -2y) + -10y + 10 Reorder the terms: 8 + 5 + -16y = 3(1 + -2y) + -10y + 10 Combine like terms: 8 + 5 = 13 13 + -16y = 3(1 + -2y) + -10y + 10 13 + -16y = (1 * 3 + -2y * 3) + -10y + 10 13 + -16y = (3 + -6y) + -10y + 10 Reorder the terms: 13 + -16y = 3 + 10 + -6y + -10y Combine like terms: 3 + 10 = 13 13 + -16y = 13 + -6y + -10y Combine like terms: -6y + -10y = -16y 13 + -16y = 13 + -16y Add '-13' to each side of the equation. 13 + -13 + -16y = 13 + -13 + -16y Combine like terms: 13 + -13 = 0 0 + -16y = 13 + -13 + -16y -16y = 13 + -13 + -16y Combine like terms: 13 + -13 = 0 -16y = 0 + -16y -16y = -16y Add '16y' to each side of the equation. -16y + 16y = -16y + 16y Combine like terms: -16y + 16y = 0 0 = -16y + 16y Combine like terms: -16y + 16y = 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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