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Simplifying 5 + 3[1 + 2(2y + -3)] + 1 = 6(x + 5) Reorder the terms: 5 + 3[1 + 2(-3 + 2y)] + 1 = 6(x + 5) 5 + 3[1 + (-3 * 2 + 2y * 2)] + 1 = 6(x + 5) 5 + 3[1 + (-6 + 4y)] + 1 = 6(x + 5) Combine like terms: 1 + -6 = -5 5 + 3[-5 + 4y] + 1 = 6(x + 5) 5 + [-5 * 3 + 4y * 3] + 1 = 6(x + 5) 5 + [-15 + 12y] + 1 = 6(x + 5) Reorder the terms: 5 + -15 + 1 + 12y = 6(x + 5) Combine like terms: 5 + -15 = -10 -10 + 1 + 12y = 6(x + 5) Combine like terms: -10 + 1 = -9 -9 + 12y = 6(x + 5) Reorder the terms: -9 + 12y = 6(5 + x) -9 + 12y = (5 * 6 + x * 6) -9 + 12y = (30 + 6x) Solving -9 + 12y = 30 + 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12y = 30 + 9 + 6x Combine like terms: -9 + 9 = 0 0 + 12y = 30 + 9 + 6x 12y = 30 + 9 + 6x Combine like terms: 30 + 9 = 39 12y = 39 + 6x Divide each side by '12'. y = 3.25 + 0.5x Simplifying y = 3.25 + 0.5x
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