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Simplifying 2y + 8(3y + -2) + 8 = 4(12 + -3y) + 7 Reorder the terms: 2y + 8(-2 + 3y) + 8 = 4(12 + -3y) + 7 2y + (-2 * 8 + 3y * 8) + 8 = 4(12 + -3y) + 7 2y + (-16 + 24y) + 8 = 4(12 + -3y) + 7 Reorder the terms: -16 + 8 + 2y + 24y = 4(12 + -3y) + 7 Combine like terms: -16 + 8 = -8 -8 + 2y + 24y = 4(12 + -3y) + 7 Combine like terms: 2y + 24y = 26y -8 + 26y = 4(12 + -3y) + 7 -8 + 26y = (12 * 4 + -3y * 4) + 7 -8 + 26y = (48 + -12y) + 7 Reorder the terms: -8 + 26y = 48 + 7 + -12y Combine like terms: 48 + 7 = 55 -8 + 26y = 55 + -12y Solving -8 + 26y = 55 + -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. -8 + 26y + 12y = 55 + -12y + 12y Combine like terms: 26y + 12y = 38y -8 + 38y = 55 + -12y + 12y Combine like terms: -12y + 12y = 0 -8 + 38y = 55 + 0 -8 + 38y = 55 Add '8' to each side of the equation. -8 + 8 + 38y = 55 + 8 Combine like terms: -8 + 8 = 0 0 + 38y = 55 + 8 38y = 55 + 8 Combine like terms: 55 + 8 = 63 38y = 63 Divide each side by '38'. y = 1.657894737 Simplifying y = 1.657894737
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