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Simplifying 8(4y + -1) + -12y = 11(2y + -6) Reorder the terms: 8(-1 + 4y) + -12y = 11(2y + -6) (-1 * 8 + 4y * 8) + -12y = 11(2y + -6) (-8 + 32y) + -12y = 11(2y + -6) Combine like terms: 32y + -12y = 20y -8 + 20y = 11(2y + -6) Reorder the terms: -8 + 20y = 11(-6 + 2y) -8 + 20y = (-6 * 11 + 2y * 11) -8 + 20y = (-66 + 22y) Solving -8 + 20y = -66 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -8 + 20y + -22y = -66 + 22y + -22y Combine like terms: 20y + -22y = -2y -8 + -2y = -66 + 22y + -22y Combine like terms: 22y + -22y = 0 -8 + -2y = -66 + 0 -8 + -2y = -66 Add '8' to each side of the equation. -8 + 8 + -2y = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = -66 + 8 -2y = -66 + 8 Combine like terms: -66 + 8 = -58 -2y = -58 Divide each side by '-2'. y = 29 Simplifying y = 29
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