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Simplifying -124 + 8y + 4 = 6(3y + -4) + -6 Reorder the terms: -124 + 4 + 8y = 6(3y + -4) + -6 Combine like terms: -124 + 4 = -120 -120 + 8y = 6(3y + -4) + -6 Reorder the terms: -120 + 8y = 6(-4 + 3y) + -6 -120 + 8y = (-4 * 6 + 3y * 6) + -6 -120 + 8y = (-24 + 18y) + -6 Reorder the terms: -120 + 8y = -24 + -6 + 18y Combine like terms: -24 + -6 = -30 -120 + 8y = -30 + 18y Solving -120 + 8y = -30 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -120 + 8y + -18y = -30 + 18y + -18y Combine like terms: 8y + -18y = -10y -120 + -10y = -30 + 18y + -18y Combine like terms: 18y + -18y = 0 -120 + -10y = -30 + 0 -120 + -10y = -30 Add '120' to each side of the equation. -120 + 120 + -10y = -30 + 120 Combine like terms: -120 + 120 = 0 0 + -10y = -30 + 120 -10y = -30 + 120 Combine like terms: -30 + 120 = 90 -10y = 90 Divide each side by '-10'. y = -9 Simplifying y = -9
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