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Simplifying 4(5y + -4) + -1[2(4y + -3) + 3] = 0 Reorder the terms: 4(-4 + 5y) + -1[2(4y + -3) + 3] = 0 (-4 * 4 + 5y * 4) + -1[2(4y + -3) + 3] = 0 (-16 + 20y) + -1[2(4y + -3) + 3] = 0 Reorder the terms: -16 + 20y + -1[2(-3 + 4y) + 3] = 0 -16 + 20y + -1[(-3 * 2 + 4y * 2) + 3] = 0 -16 + 20y + -1[(-6 + 8y) + 3] = 0 Reorder the terms: -16 + 20y + -1[-6 + 3 + 8y] = 0 Combine like terms: -6 + 3 = -3 -16 + 20y + -1[-3 + 8y] = 0 -16 + 20y + [-3 * -1 + 8y * -1] = 0 -16 + 20y + [3 + -8y] = 0 Reorder the terms: -16 + 3 + 20y + -8y = 0 Combine like terms: -16 + 3 = -13 -13 + 20y + -8y = 0 Combine like terms: 20y + -8y = 12y -13 + 12y = 0 Solving -13 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 12y = 0 + 13 12y = 0 + 13 Combine like terms: 0 + 13 = 13 12y = 13 Divide each side by '12'. y = 1.083333333 Simplifying y = 1.083333333
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