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Simplifying -8(y + 6) = -6y + -34 Reorder the terms: -8(6 + y) = -6y + -34 (6 * -8 + y * -8) = -6y + -34 (-48 + -8y) = -6y + -34 Reorder the terms: -48 + -8y = -34 + -6y Solving -48 + -8y = -34 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -48 + -8y + 6y = -34 + -6y + 6y Combine like terms: -8y + 6y = -2y -48 + -2y = -34 + -6y + 6y Combine like terms: -6y + 6y = 0 -48 + -2y = -34 + 0 -48 + -2y = -34 Add '48' to each side of the equation. -48 + 48 + -2y = -34 + 48 Combine like terms: -48 + 48 = 0 0 + -2y = -34 + 48 -2y = -34 + 48 Combine like terms: -34 + 48 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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