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Simplifying 5y + -1[7 + -1(2y + -1)] = 3(y + -5) Reorder the terms: 5y + -1[7 + -1(-1 + 2y)] = 3(y + -5) 5y + -1[7 + (-1 * -1 + 2y * -1)] = 3(y + -5) 5y + -1[7 + (1 + -2y)] = 3(y + -5) Combine like terms: 7 + 1 = 8 5y + -1[8 + -2y] = 3(y + -5) 5y + [8 * -1 + -2y * -1] = 3(y + -5) 5y + [-8 + 2y] = 3(y + -5) Reorder the terms: -8 + 5y + 2y = 3(y + -5) Combine like terms: 5y + 2y = 7y -8 + 7y = 3(y + -5) Reorder the terms: -8 + 7y = 3(-5 + y) -8 + 7y = (-5 * 3 + y * 3) -8 + 7y = (-15 + 3y) Solving -8 + 7y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 7y + -3y = -15 + 3y + -3y Combine like terms: 7y + -3y = 4y -8 + 4y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 4y = -15 + 0 -8 + 4y = -15 Add '8' to each side of the equation. -8 + 8 + 4y = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -15 + 8 4y = -15 + 8 Combine like terms: -15 + 8 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75
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