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Simplifying 6(3y + 1) + -14 = 4(4y + -4) + -9 Reorder the terms: 6(1 + 3y) + -14 = 4(4y + -4) + -9 (1 * 6 + 3y * 6) + -14 = 4(4y + -4) + -9 (6 + 18y) + -14 = 4(4y + -4) + -9 Reorder the terms: 6 + -14 + 18y = 4(4y + -4) + -9 Combine like terms: 6 + -14 = -8 -8 + 18y = 4(4y + -4) + -9 Reorder the terms: -8 + 18y = 4(-4 + 4y) + -9 -8 + 18y = (-4 * 4 + 4y * 4) + -9 -8 + 18y = (-16 + 16y) + -9 Reorder the terms: -8 + 18y = -16 + -9 + 16y Combine like terms: -16 + -9 = -25 -8 + 18y = -25 + 16y Solving -8 + 18y = -25 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -8 + 18y + -16y = -25 + 16y + -16y Combine like terms: 18y + -16y = 2y -8 + 2y = -25 + 16y + -16y Combine like terms: 16y + -16y = 0 -8 + 2y = -25 + 0 -8 + 2y = -25 Add '8' to each side of the equation. -8 + 8 + 2y = -25 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = -25 + 8 2y = -25 + 8 Combine like terms: -25 + 8 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5
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