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Simplifying 20y + -1(4y + 9) = 8(2y + -3) + 15 Reorder the terms: 20y + -1(9 + 4y) = 8(2y + -3) + 15 20y + (9 * -1 + 4y * -1) = 8(2y + -3) + 15 20y + (-9 + -4y) = 8(2y + -3) + 15 Reorder the terms: -9 + 20y + -4y = 8(2y + -3) + 15 Combine like terms: 20y + -4y = 16y -9 + 16y = 8(2y + -3) + 15 Reorder the terms: -9 + 16y = 8(-3 + 2y) + 15 -9 + 16y = (-3 * 8 + 2y * 8) + 15 -9 + 16y = (-24 + 16y) + 15 Reorder the terms: -9 + 16y = -24 + 15 + 16y Combine like terms: -24 + 15 = -9 -9 + 16y = -9 + 16y Add '9' to each side of the equation. -9 + 9 + 16y = -9 + 9 + 16y Combine like terms: -9 + 9 = 0 0 + 16y = -9 + 9 + 16y 16y = -9 + 9 + 16y Combine like terms: -9 + 9 = 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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