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Simplifying 3(4y + 2) + 23 = 2(2y + -2) + 12 Reorder the terms: 3(2 + 4y) + 23 = 2(2y + -2) + 12 (2 * 3 + 4y * 3) + 23 = 2(2y + -2) + 12 (6 + 12y) + 23 = 2(2y + -2) + 12 Reorder the terms: 6 + 23 + 12y = 2(2y + -2) + 12 Combine like terms: 6 + 23 = 29 29 + 12y = 2(2y + -2) + 12 Reorder the terms: 29 + 12y = 2(-2 + 2y) + 12 29 + 12y = (-2 * 2 + 2y * 2) + 12 29 + 12y = (-4 + 4y) + 12 Reorder the terms: 29 + 12y = -4 + 12 + 4y Combine like terms: -4 + 12 = 8 29 + 12y = 8 + 4y Solving 29 + 12y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 29 + 12y + -4y = 8 + 4y + -4y Combine like terms: 12y + -4y = 8y 29 + 8y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 29 + 8y = 8 + 0 29 + 8y = 8 Add '-29' to each side of the equation. 29 + -29 + 8y = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 8y = 8 + -29 8y = 8 + -29 Combine like terms: 8 + -29 = -21 8y = -21 Divide each side by '8'. y = -2.625 Simplifying y = -2.625
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