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Simplifying 6(3y + -4) + -2 = 3(4y + 1) + -15 Reorder the terms: 6(-4 + 3y) + -2 = 3(4y + 1) + -15 (-4 * 6 + 3y * 6) + -2 = 3(4y + 1) + -15 (-24 + 18y) + -2 = 3(4y + 1) + -15 Reorder the terms: -24 + -2 + 18y = 3(4y + 1) + -15 Combine like terms: -24 + -2 = -26 -26 + 18y = 3(4y + 1) + -15 Reorder the terms: -26 + 18y = 3(1 + 4y) + -15 -26 + 18y = (1 * 3 + 4y * 3) + -15 -26 + 18y = (3 + 12y) + -15 Reorder the terms: -26 + 18y = 3 + -15 + 12y Combine like terms: 3 + -15 = -12 -26 + 18y = -12 + 12y Solving -26 + 18y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -26 + 18y + -12y = -12 + 12y + -12y Combine like terms: 18y + -12y = 6y -26 + 6y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -26 + 6y = -12 + 0 -26 + 6y = -12 Add '26' to each side of the equation. -26 + 26 + 6y = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 6y = -12 + 26 6y = -12 + 26 Combine like terms: -12 + 26 = 14 6y = 14 Divide each side by '6'. y = 2.333333333 Simplifying y = 2.333333333
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