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Simplifying -10(y + 2) + 4(4y + -4) = 5(y + -4) + 13 Reorder the terms: -10(2 + y) + 4(4y + -4) = 5(y + -4) + 13 (2 * -10 + y * -10) + 4(4y + -4) = 5(y + -4) + 13 (-20 + -10y) + 4(4y + -4) = 5(y + -4) + 13 Reorder the terms: -20 + -10y + 4(-4 + 4y) = 5(y + -4) + 13 -20 + -10y + (-4 * 4 + 4y * 4) = 5(y + -4) + 13 -20 + -10y + (-16 + 16y) = 5(y + -4) + 13 Reorder the terms: -20 + -16 + -10y + 16y = 5(y + -4) + 13 Combine like terms: -20 + -16 = -36 -36 + -10y + 16y = 5(y + -4) + 13 Combine like terms: -10y + 16y = 6y -36 + 6y = 5(y + -4) + 13 Reorder the terms: -36 + 6y = 5(-4 + y) + 13 -36 + 6y = (-4 * 5 + y * 5) + 13 -36 + 6y = (-20 + 5y) + 13 Reorder the terms: -36 + 6y = -20 + 13 + 5y Combine like terms: -20 + 13 = -7 -36 + 6y = -7 + 5y Solving -36 + 6y = -7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -36 + 6y + -5y = -7 + 5y + -5y Combine like terms: 6y + -5y = 1y -36 + 1y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 -36 + 1y = -7 + 0 -36 + 1y = -7 Add '36' to each side of the equation. -36 + 36 + 1y = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = -7 + 36 1y = -7 + 36 Combine like terms: -7 + 36 = 29 1y = 29 Divide each side by '1'. y = 29 Simplifying y = 29
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