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Simplifying -1[2(2 + -1y) + -1(2y + -3)] + -5y = 4(y + 3) -1[(2 * 2 + -1y * 2) + -1(2y + -3)] + -5y = 4(y + 3) -1[(4 + -2y) + -1(2y + -3)] + -5y = 4(y + 3) Reorder the terms: -1[4 + -2y + -1(-3 + 2y)] + -5y = 4(y + 3) -1[4 + -2y + (-3 * -1 + 2y * -1)] + -5y = 4(y + 3) -1[4 + -2y + (3 + -2y)] + -5y = 4(y + 3) Reorder the terms: -1[4 + 3 + -2y + -2y] + -5y = 4(y + 3) Combine like terms: 4 + 3 = 7 -1[7 + -2y + -2y] + -5y = 4(y + 3) Combine like terms: -2y + -2y = -4y -1[7 + -4y] + -5y = 4(y + 3) [7 * -1 + -4y * -1] + -5y = 4(y + 3) [-7 + 4y] + -5y = 4(y + 3) Combine like terms: 4y + -5y = -1y -7 + -1y = 4(y + 3) Reorder the terms: -7 + -1y = 4(3 + y) -7 + -1y = (3 * 4 + y * 4) -7 + -1y = (12 + 4y) Solving -7 + -1y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -7 + -1y + -4y = 12 + 4y + -4y Combine like terms: -1y + -4y = -5y -7 + -5y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + -5y = 12 + 0 -7 + -5y = 12 Add '7' to each side of the equation. -7 + 7 + -5y = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 12 + 7 -5y = 12 + 7 Combine like terms: 12 + 7 = 19 -5y = 19 Divide each side by '-5'. y = -3.8 Simplifying y = -3.8
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