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Simplifying 6[y + -5] = -2[5y + -1] Reorder the terms: 6[-5 + y] = -2[5y + -1] [-5 * 6 + y * 6] = -2[5y + -1] [-30 + 6y] = -2[5y + -1] Reorder the terms: -30 + 6y = -2[-1 + 5y] -30 + 6y = [-1 * -2 + 5y * -2] -30 + 6y = [2 + -10y] Solving -30 + 6y = 2 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -30 + 6y + 10y = 2 + -10y + 10y Combine like terms: 6y + 10y = 16y -30 + 16y = 2 + -10y + 10y Combine like terms: -10y + 10y = 0 -30 + 16y = 2 + 0 -30 + 16y = 2 Add '30' to each side of the equation. -30 + 30 + 16y = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 16y = 2 + 30 16y = 2 + 30 Combine like terms: 2 + 30 = 32 16y = 32 Divide each side by '16'. y = 2 Simplifying y = 2
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