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Simplifying 6y + -30 = -8(y + 2) Reorder the terms: -30 + 6y = -8(y + 2) Reorder the terms: -30 + 6y = -8(2 + y) -30 + 6y = (2 * -8 + y * -8) -30 + 6y = (-16 + -8y) Solving -30 + 6y = -16 + -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. -30 + 6y + 8y = -16 + -8y + 8y Combine like terms: 6y + 8y = 14y -30 + 14y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 -30 + 14y = -16 + 0 -30 + 14y = -16 Add '30' to each side of the equation. -30 + 30 + 14y = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 14y = -16 + 30 14y = -16 + 30 Combine like terms: -16 + 30 = 14 14y = 14 Divide each side by '14'. y = 1 Simplifying y = 1
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