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Simplifying -16(y + 1) + 5(4y + -4) = 3(y + -3) + 10 Reorder the terms: -16(1 + y) + 5(4y + -4) = 3(y + -3) + 10 (1 * -16 + y * -16) + 5(4y + -4) = 3(y + -3) + 10 (-16 + -16y) + 5(4y + -4) = 3(y + -3) + 10 Reorder the terms: -16 + -16y + 5(-4 + 4y) = 3(y + -3) + 10 -16 + -16y + (-4 * 5 + 4y * 5) = 3(y + -3) + 10 -16 + -16y + (-20 + 20y) = 3(y + -3) + 10 Reorder the terms: -16 + -20 + -16y + 20y = 3(y + -3) + 10 Combine like terms: -16 + -20 = -36 -36 + -16y + 20y = 3(y + -3) + 10 Combine like terms: -16y + 20y = 4y -36 + 4y = 3(y + -3) + 10 Reorder the terms: -36 + 4y = 3(-3 + y) + 10 -36 + 4y = (-3 * 3 + y * 3) + 10 -36 + 4y = (-9 + 3y) + 10 Reorder the terms: -36 + 4y = -9 + 10 + 3y Combine like terms: -9 + 10 = 1 -36 + 4y = 1 + 3y Solving -36 + 4y = 1 + 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 = 1 + 3y + -3y Combine like terms: 4y + -3y = 1y -36 + 1y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 1y = 1 + 0 -36 + 1y = 1 Add '36' to each side of the equation. -36 + 36 + 1y = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = 1 + 36 1y = 1 + 36 Combine like terms: 1 + 36 = 37 1y = 37 Divide each side by '1'. y = 37 Simplifying y = 37
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