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Simplifying -4(2y + -5) + -1(7 + -3y) = 4(y + 3) Reorder the terms: -4(-5 + 2y) + -1(7 + -3y) = 4(y + 3) (-5 * -4 + 2y * -4) + -1(7 + -3y) = 4(y + 3) (20 + -8y) + -1(7 + -3y) = 4(y + 3) 20 + -8y + (7 * -1 + -3y * -1) = 4(y + 3) 20 + -8y + (-7 + 3y) = 4(y + 3) Reorder the terms: 20 + -7 + -8y + 3y = 4(y + 3) Combine like terms: 20 + -7 = 13 13 + -8y + 3y = 4(y + 3) Combine like terms: -8y + 3y = -5y 13 + -5y = 4(y + 3) Reorder the terms: 13 + -5y = 4(3 + y) 13 + -5y = (3 * 4 + y * 4) 13 + -5y = (12 + 4y) Solving 13 + -5y = 12 + 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. 13 + -5y + -4y = 12 + 4y + -4y Combine like terms: -5y + -4y = -9y 13 + -9y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 13 + -9y = 12 + 0 13 + -9y = 12 Add '-13' to each side of the equation. 13 + -13 + -9y = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -9y = 12 + -13 -9y = 12 + -13 Combine like terms: 12 + -13 = -1 -9y = -1 Divide each side by '-9'. y = 0.1111111111 Simplifying y = 0.1111111111
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