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Simplifying -2 + -8(y + 6) = 8(4y + -2) * 7 Reorder the terms: -2 + -8(6 + y) = 8(4y + -2) * 7 -2 + (6 * -8 + y * -8) = 8(4y + -2) * 7 -2 + (-48 + -8y) = 8(4y + -2) * 7 Combine like terms: -2 + -48 = -50 -50 + -8y = 8(4y + -2) * 7 Reorder the terms: -50 + -8y = 8(-2 + 4y) * 7 Reorder the terms for easier multiplication: -50 + -8y = 8 * 7(-2 + 4y) Multiply 8 * 7 -50 + -8y = 56(-2 + 4y) -50 + -8y = (-2 * 56 + 4y * 56) -50 + -8y = (-112 + 224y) Solving -50 + -8y = -112 + 224y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-224y' to each side of the equation. -50 + -8y + -224y = -112 + 224y + -224y Combine like terms: -8y + -224y = -232y -50 + -232y = -112 + 224y + -224y Combine like terms: 224y + -224y = 0 -50 + -232y = -112 + 0 -50 + -232y = -112 Add '50' to each side of the equation. -50 + 50 + -232y = -112 + 50 Combine like terms: -50 + 50 = 0 0 + -232y = -112 + 50 -232y = -112 + 50 Combine like terms: -112 + 50 = -62 -232y = -62 Divide each side by '-232'. y = 0.2672413793 Simplifying y = 0.2672413793
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