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Simplifying 4y + -1[5y + 1 + -3(5 + -2y)] = 3(2 + -1y) 4y + -1[5y + 1 + (5 * -3 + -2y * -3)] = 3(2 + -1y) 4y + -1[5y + 1 + (-15 + 6y)] = 3(2 + -1y) Reorder the terms: 4y + -1[1 + -15 + 5y + 6y] = 3(2 + -1y) Combine like terms: 1 + -15 = -14 4y + -1[-14 + 5y + 6y] = 3(2 + -1y) Combine like terms: 5y + 6y = 11y 4y + -1[-14 + 11y] = 3(2 + -1y) 4y + [-14 * -1 + 11y * -1] = 3(2 + -1y) 4y + [14 + -11y] = 3(2 + -1y) Reorder the terms: 14 + 4y + -11y = 3(2 + -1y) Combine like terms: 4y + -11y = -7y 14 + -7y = 3(2 + -1y) 14 + -7y = (2 * 3 + -1y * 3) 14 + -7y = (6 + -3y) Solving 14 + -7y = 6 + -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. 14 + -7y + 3y = 6 + -3y + 3y Combine like terms: -7y + 3y = -4y 14 + -4y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 14 + -4y = 6 + 0 14 + -4y = 6 Add '-14' to each side of the equation. 14 + -14 + -4y = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = 6 + -14 -4y = 6 + -14 Combine like terms: 6 + -14 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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