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Simplifying 3y + -5(2y + -5) = -4 + -4(2y + -1y) Reorder the terms: 3y + -5(-5 + 2y) = -4 + -4(2y + -1y) 3y + (-5 * -5 + 2y * -5) = -4 + -4(2y + -1y) 3y + (25 + -10y) = -4 + -4(2y + -1y) Reorder the terms: 25 + 3y + -10y = -4 + -4(2y + -1y) Combine like terms: 3y + -10y = -7y 25 + -7y = -4 + -4(2y + -1y) Combine like terms: 2y + -1y = 1y 25 + -7y = -4 + -4(1y) Remove parenthesis around (1y) 25 + -7y = -4 + -4 * 1y Multiply -4 * 1 25 + -7y = -4 + -4y Solving 25 + -7y = -4 + -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. 25 + -7y + 4y = -4 + -4y + 4y Combine like terms: -7y + 4y = -3y 25 + -3y = -4 + -4y + 4y Combine like terms: -4y + 4y = 0 25 + -3y = -4 + 0 25 + -3y = -4 Add '-25' to each side of the equation. 25 + -25 + -3y = -4 + -25 Combine like terms: 25 + -25 = 0 0 + -3y = -4 + -25 -3y = -4 + -25 Combine like terms: -4 + -25 = -29 -3y = -29 Divide each side by '-3'. y = 9.666666667 Simplifying y = 9.666666667
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