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Simplifying -48 + 28y + 4 = 6(5y + -4) + -6 Reorder the terms: -48 + 4 + 28y = 6(5y + -4) + -6 Combine like terms: -48 + 4 = -44 -44 + 28y = 6(5y + -4) + -6 Reorder the terms: -44 + 28y = 6(-4 + 5y) + -6 -44 + 28y = (-4 * 6 + 5y * 6) + -6 -44 + 28y = (-24 + 30y) + -6 Reorder the terms: -44 + 28y = -24 + -6 + 30y Combine like terms: -24 + -6 = -30 -44 + 28y = -30 + 30y Solving -44 + 28y = -30 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -44 + 28y + -30y = -30 + 30y + -30y Combine like terms: 28y + -30y = -2y -44 + -2y = -30 + 30y + -30y Combine like terms: 30y + -30y = 0 -44 + -2y = -30 + 0 -44 + -2y = -30 Add '44' to each side of the equation. -44 + 44 + -2y = -30 + 44 Combine like terms: -44 + 44 = 0 0 + -2y = -30 + 44 -2y = -30 + 44 Combine like terms: -30 + 44 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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