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Simplifying 3y + -4 = -8(y + 6) Reorder the terms: -4 + 3y = -8(y + 6) Reorder the terms: -4 + 3y = -8(6 + y) -4 + 3y = (6 * -8 + y * -8) -4 + 3y = (-48 + -8y) Solving -4 + 3y = -48 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -4 + 3y + 8y = -48 + -8y + 8y Combine like terms: 3y + 8y = 11y -4 + 11y = -48 + -8y + 8y Combine like terms: -8y + 8y = 0 -4 + 11y = -48 + 0 -4 + 11y = -48 Add '4' to each side of the equation. -4 + 4 + 11y = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 11y = -48 + 4 11y = -48 + 4 Combine like terms: -48 + 4 = -44 11y = -44 Divide each side by '11'. y = -4 Simplifying y = -4
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