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Simplifying -15(y + 1) + 5(4y + -5) = 4(y + -4) + 11 Reorder the terms: -15(1 + y) + 5(4y + -5) = 4(y + -4) + 11 (1 * -15 + y * -15) + 5(4y + -5) = 4(y + -4) + 11 (-15 + -15y) + 5(4y + -5) = 4(y + -4) + 11 Reorder the terms: -15 + -15y + 5(-5 + 4y) = 4(y + -4) + 11 -15 + -15y + (-5 * 5 + 4y * 5) = 4(y + -4) + 11 -15 + -15y + (-25 + 20y) = 4(y + -4) + 11 Reorder the terms: -15 + -25 + -15y + 20y = 4(y + -4) + 11 Combine like terms: -15 + -25 = -40 -40 + -15y + 20y = 4(y + -4) + 11 Combine like terms: -15y + 20y = 5y -40 + 5y = 4(y + -4) + 11 Reorder the terms: -40 + 5y = 4(-4 + y) + 11 -40 + 5y = (-4 * 4 + y * 4) + 11 -40 + 5y = (-16 + 4y) + 11 Reorder the terms: -40 + 5y = -16 + 11 + 4y Combine like terms: -16 + 11 = -5 -40 + 5y = -5 + 4y Solving -40 + 5y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -40 + 5y + -4y = -5 + 4y + -4y Combine like terms: 5y + -4y = 1y -40 + 1y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -40 + 1y = -5 + 0 -40 + 1y = -5 Add '40' to each side of the equation. -40 + 40 + 1y = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 1y = -5 + 40 1y = -5 + 40 Combine like terms: -5 + 40 = 35 1y = 35 Divide each side by '1'. y = 35 Simplifying y = 35
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