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Simplifying 2(4y + -4) + -17 = 5(2y + -3) + -5 Reorder the terms: 2(-4 + 4y) + -17 = 5(2y + -3) + -5 (-4 * 2 + 4y * 2) + -17 = 5(2y + -3) + -5 (-8 + 8y) + -17 = 5(2y + -3) + -5 Reorder the terms: -8 + -17 + 8y = 5(2y + -3) + -5 Combine like terms: -8 + -17 = -25 -25 + 8y = 5(2y + -3) + -5 Reorder the terms: -25 + 8y = 5(-3 + 2y) + -5 -25 + 8y = (-3 * 5 + 2y * 5) + -5 -25 + 8y = (-15 + 10y) + -5 Reorder the terms: -25 + 8y = -15 + -5 + 10y Combine like terms: -15 + -5 = -20 -25 + 8y = -20 + 10y Solving -25 + 8y = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -25 + 8y + -10y = -20 + 10y + -10y Combine like terms: 8y + -10y = -2y -25 + -2y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 -25 + -2y = -20 + 0 -25 + -2y = -20 Add '25' to each side of the equation. -25 + 25 + -2y = -20 + 25 Combine like terms: -25 + 25 = 0 0 + -2y = -20 + 25 -2y = -20 + 25 Combine like terms: -20 + 25 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5
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