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Simplifying 5y + -1(8 + -1y) = 2[-4 + -1(3 + 5y) + -13] 5y + (8 * -1 + -1y * -1) = 2[-4 + -1(3 + 5y) + -13] 5y + (-8 + 1y) = 2[-4 + -1(3 + 5y) + -13] Reorder the terms: -8 + 5y + 1y = 2[-4 + -1(3 + 5y) + -13] Combine like terms: 5y + 1y = 6y -8 + 6y = 2[-4 + -1(3 + 5y) + -13] -8 + 6y = 2[-4 + (3 * -1 + 5y * -1) + -13] -8 + 6y = 2[-4 + (-3 + -5y) + -13] Reorder the terms: -8 + 6y = 2[-4 + -3 + -13 + -5y] Combine like terms: -4 + -3 = -7 -8 + 6y = 2[-7 + -13 + -5y] Combine like terms: -7 + -13 = -20 -8 + 6y = 2[-20 + -5y] -8 + 6y = [-20 * 2 + -5y * 2] -8 + 6y = [-40 + -10y] Solving -8 + 6y = -40 + -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. -8 + 6y + 10y = -40 + -10y + 10y Combine like terms: 6y + 10y = 16y -8 + 16y = -40 + -10y + 10y Combine like terms: -10y + 10y = 0 -8 + 16y = -40 + 0 -8 + 16y = -40 Add '8' to each side of the equation. -8 + 8 + 16y = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 16y = -40 + 8 16y = -40 + 8 Combine like terms: -40 + 8 = -32 16y = -32 Divide each side by '16'. y = -2 Simplifying y = -2
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