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Simplifying 5(2y + 5) = 4(y + -3) + -17 Reorder the terms: 5(5 + 2y) = 4(y + -3) + -17 (5 * 5 + 2y * 5) = 4(y + -3) + -17 (25 + 10y) = 4(y + -3) + -17 Reorder the terms: 25 + 10y = 4(-3 + y) + -17 25 + 10y = (-3 * 4 + y * 4) + -17 25 + 10y = (-12 + 4y) + -17 Reorder the terms: 25 + 10y = -12 + -17 + 4y Combine like terms: -12 + -17 = -29 25 + 10y = -29 + 4y Solving 25 + 10y = -29 + 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 + 10y + -4y = -29 + 4y + -4y Combine like terms: 10y + -4y = 6y 25 + 6y = -29 + 4y + -4y Combine like terms: 4y + -4y = 0 25 + 6y = -29 + 0 25 + 6y = -29 Add '-25' to each side of the equation. 25 + -25 + 6y = -29 + -25 Combine like terms: 25 + -25 = 0 0 + 6y = -29 + -25 6y = -29 + -25 Combine like terms: -29 + -25 = -54 6y = -54 Divide each side by '6'. y = -9 Simplifying y = -9
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