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Simplifying 8(y + 8) + 11 = 2(2y + -7) + -3(4y + -3) Reorder the terms: 8(8 + y) + 11 = 2(2y + -7) + -3(4y + -3) (8 * 8 + y * 8) + 11 = 2(2y + -7) + -3(4y + -3) (64 + 8y) + 11 = 2(2y + -7) + -3(4y + -3) Reorder the terms: 64 + 11 + 8y = 2(2y + -7) + -3(4y + -3) Combine like terms: 64 + 11 = 75 75 + 8y = 2(2y + -7) + -3(4y + -3) Reorder the terms: 75 + 8y = 2(-7 + 2y) + -3(4y + -3) 75 + 8y = (-7 * 2 + 2y * 2) + -3(4y + -3) 75 + 8y = (-14 + 4y) + -3(4y + -3) Reorder the terms: 75 + 8y = -14 + 4y + -3(-3 + 4y) 75 + 8y = -14 + 4y + (-3 * -3 + 4y * -3) 75 + 8y = -14 + 4y + (9 + -12y) Reorder the terms: 75 + 8y = -14 + 9 + 4y + -12y Combine like terms: -14 + 9 = -5 75 + 8y = -5 + 4y + -12y Combine like terms: 4y + -12y = -8y 75 + 8y = -5 + -8y Solving 75 + 8y = -5 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 75 + 8y + 8y = -5 + -8y + 8y Combine like terms: 8y + 8y = 16y 75 + 16y = -5 + -8y + 8y Combine like terms: -8y + 8y = 0 75 + 16y = -5 + 0 75 + 16y = -5 Add '-75' to each side of the equation. 75 + -75 + 16y = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 16y = -5 + -75 16y = -5 + -75 Combine like terms: -5 + -75 = -80 16y = -80 Divide each side by '16'. y = -5 Simplifying y = -5
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