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Simplifying 3(4y + -3) + 21 = 2(3y + -1) + 17 Reorder the terms: 3(-3 + 4y) + 21 = 2(3y + -1) + 17 (-3 * 3 + 4y * 3) + 21 = 2(3y + -1) + 17 (-9 + 12y) + 21 = 2(3y + -1) + 17 Reorder the terms: -9 + 21 + 12y = 2(3y + -1) + 17 Combine like terms: -9 + 21 = 12 12 + 12y = 2(3y + -1) + 17 Reorder the terms: 12 + 12y = 2(-1 + 3y) + 17 12 + 12y = (-1 * 2 + 3y * 2) + 17 12 + 12y = (-2 + 6y) + 17 Reorder the terms: 12 + 12y = -2 + 17 + 6y Combine like terms: -2 + 17 = 15 12 + 12y = 15 + 6y Solving 12 + 12y = 15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 12y + -6y = 15 + 6y + -6y Combine like terms: 12y + -6y = 6y 12 + 6y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 6y = 15 + 0 12 + 6y = 15 Add '-12' to each side of the equation. 12 + -12 + 6y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 15 + -12 6y = 15 + -12 Combine like terms: 15 + -12 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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