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Simplifying 5y + -1(8 + -7) = 2[-4 + -1(3 + 5y) + -13] Combine like terms: 8 + -7 = 1 5y + -1(1) = 2[-4 + -1(3 + 5y) + -13] Multiply -1 * 1 5y + -1 = 2[-4 + -1(3 + 5y) + -13] Reorder the terms: -1 + 5y = 2[-4 + -1(3 + 5y) + -13] -1 + 5y = 2[-4 + (3 * -1 + 5y * -1) + -13] -1 + 5y = 2[-4 + (-3 + -5y) + -13] Reorder the terms: -1 + 5y = 2[-4 + -3 + -13 + -5y] Combine like terms: -4 + -3 = -7 -1 + 5y = 2[-7 + -13 + -5y] Combine like terms: -7 + -13 = -20 -1 + 5y = 2[-20 + -5y] -1 + 5y = [-20 * 2 + -5y * 2] -1 + 5y = [-40 + -10y] Solving -1 + 5y = -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. -1 + 5y + 10y = -40 + -10y + 10y Combine like terms: 5y + 10y = 15y -1 + 15y = -40 + -10y + 10y Combine like terms: -10y + 10y = 0 -1 + 15y = -40 + 0 -1 + 15y = -40 Add '1' to each side of the equation. -1 + 1 + 15y = -40 + 1 Combine like terms: -1 + 1 = 0 0 + 15y = -40 + 1 15y = -40 + 1 Combine like terms: -40 + 1 = -39 15y = -39 Divide each side by '15'. y = -2.6 Simplifying y = -2.6
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