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Simplifying -30 = -2y + 8(y + -6) Reorder the terms: -30 = -2y + 8(-6 + y) -30 = -2y + (-6 * 8 + y * 8) -30 = -2y + (-48 + 8y) Reorder the terms: -30 = -48 + -2y + 8y Combine like terms: -2y + 8y = 6y -30 = -48 + 6y Solving -30 = -48 + 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. -30 + -6y = -48 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -6y = -48 + 0 -30 + -6y = -48 Add '30' to each side of the equation. -30 + 30 + -6y = -48 + 30 Combine like terms: -30 + 30 = 0 0 + -6y = -48 + 30 -6y = -48 + 30 Combine like terms: -48 + 30 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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