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Simplifying 4(3y + 2) + 3(2z + -3) = 61 Reorder the terms: 4(2 + 3y) + 3(2z + -3) = 61 (2 * 4 + 3y * 4) + 3(2z + -3) = 61 (8 + 12y) + 3(2z + -3) = 61 Reorder the terms: 8 + 12y + 3(-3 + 2z) = 61 8 + 12y + (-3 * 3 + 2z * 3) = 61 8 + 12y + (-9 + 6z) = 61 Reorder the terms: 8 + -9 + 12y + 6z = 61 Combine like terms: 8 + -9 = -1 -1 + 12y + 6z = 61 Solving -1 + 12y + 6z = 61 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12y + 1 + 6z = 61 + 1 Reorder the terms: -1 + 1 + 12y + 6z = 61 + 1 Combine like terms: -1 + 1 = 0 0 + 12y + 6z = 61 + 1 12y + 6z = 61 + 1 Combine like terms: 61 + 1 = 62 12y + 6z = 62 Add '-6z' to each side of the equation. 12y + 6z + -6z = 62 + -6z Combine like terms: 6z + -6z = 0 12y + 0 = 62 + -6z 12y = 62 + -6z Divide each side by '12'. y = 5.166666667 + -0.5z Simplifying y = 5.166666667 + -0.5z
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