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Simplifying -8(y + 1) + 4(3y + -6) = 3(y + -6) + 11 Reorder the terms: -8(1 + y) + 4(3y + -6) = 3(y + -6) + 11 (1 * -8 + y * -8) + 4(3y + -6) = 3(y + -6) + 11 (-8 + -8y) + 4(3y + -6) = 3(y + -6) + 11 Reorder the terms: -8 + -8y + 4(-6 + 3y) = 3(y + -6) + 11 -8 + -8y + (-6 * 4 + 3y * 4) = 3(y + -6) + 11 -8 + -8y + (-24 + 12y) = 3(y + -6) + 11 Reorder the terms: -8 + -24 + -8y + 12y = 3(y + -6) + 11 Combine like terms: -8 + -24 = -32 -32 + -8y + 12y = 3(y + -6) + 11 Combine like terms: -8y + 12y = 4y -32 + 4y = 3(y + -6) + 11 Reorder the terms: -32 + 4y = 3(-6 + y) + 11 -32 + 4y = (-6 * 3 + y * 3) + 11 -32 + 4y = (-18 + 3y) + 11 Reorder the terms: -32 + 4y = -18 + 11 + 3y Combine like terms: -18 + 11 = -7 -32 + 4y = -7 + 3y Solving -32 + 4y = -7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -32 + 4y + -3y = -7 + 3y + -3y Combine like terms: 4y + -3y = 1y -32 + 1y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 1y = -7 + 0 -32 + 1y = -7 Add '32' to each side of the equation. -32 + 32 + 1y = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 1y = -7 + 32 1y = -7 + 32 Combine like terms: -7 + 32 = 25 1y = 25 Divide each side by '1'. y = 25 Simplifying y = 25
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