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Simplifying -8(y + 2) + 4(3y + -5) = 3(y + -5) + 11 Reorder the terms: -8(2 + y) + 4(3y + -5) = 3(y + -5) + 11 (2 * -8 + y * -8) + 4(3y + -5) = 3(y + -5) + 11 (-16 + -8y) + 4(3y + -5) = 3(y + -5) + 11 Reorder the terms: -16 + -8y + 4(-5 + 3y) = 3(y + -5) + 11 -16 + -8y + (-5 * 4 + 3y * 4) = 3(y + -5) + 11 -16 + -8y + (-20 + 12y) = 3(y + -5) + 11 Reorder the terms: -16 + -20 + -8y + 12y = 3(y + -5) + 11 Combine like terms: -16 + -20 = -36 -36 + -8y + 12y = 3(y + -5) + 11 Combine like terms: -8y + 12y = 4y -36 + 4y = 3(y + -5) + 11 Reorder the terms: -36 + 4y = 3(-5 + y) + 11 -36 + 4y = (-5 * 3 + y * 3) + 11 -36 + 4y = (-15 + 3y) + 11 Reorder the terms: -36 + 4y = -15 + 11 + 3y Combine like terms: -15 + 11 = -4 -36 + 4y = -4 + 3y Solving -36 + 4y = -4 + 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. -36 + 4y + -3y = -4 + 3y + -3y Combine like terms: 4y + -3y = 1y -36 + 1y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 1y = -4 + 0 -36 + 1y = -4 Add '36' to each side of the equation. -36 + 36 + 1y = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = -4 + 36 1y = -4 + 36 Combine like terms: -4 + 36 = 32 1y = 32 Divide each side by '1'. y = 32 Simplifying y = 32
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