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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 -50 + -8y = (-2 * 8 + 4y * 8) + -7 -50 + -8y = (-16 + 32y) + -7 Reorder the terms: -50 + -8y = -16 + -7 + 32y Combine like terms: -16 + -7 = -23 -50 + -8y = -23 + 32y Solving -50 + -8y = -23 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -50 + -8y + -32y = -23 + 32y + -32y Combine like terms: -8y + -32y = -40y -50 + -40y = -23 + 32y + -32y Combine like terms: 32y + -32y = 0 -50 + -40y = -23 + 0 -50 + -40y = -23 Add '50' to each side of the equation. -50 + 50 + -40y = -23 + 50 Combine like terms: -50 + 50 = 0 0 + -40y = -23 + 50 -40y = -23 + 50 Combine like terms: -23 + 50 = 27 -40y = 27 Divide each side by '-40'. y = -0.675 Simplifying y = -0.675
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