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Simplifying -4y + 5(5y + 5) = -7 + 5(-5 + -1y) Reorder the terms: -4y + 5(5 + 5y) = -7 + 5(-5 + -1y) -4y + (5 * 5 + 5y * 5) = -7 + 5(-5 + -1y) -4y + (25 + 25y) = -7 + 5(-5 + -1y) Reorder the terms: 25 + -4y + 25y = -7 + 5(-5 + -1y) Combine like terms: -4y + 25y = 21y 25 + 21y = -7 + 5(-5 + -1y) 25 + 21y = -7 + (-5 * 5 + -1y * 5) 25 + 21y = -7 + (-25 + -5y) Combine like terms: -7 + -25 = -32 25 + 21y = -32 + -5y Solving 25 + 21y = -32 + -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. 25 + 21y + 5y = -32 + -5y + 5y Combine like terms: 21y + 5y = 26y 25 + 26y = -32 + -5y + 5y Combine like terms: -5y + 5y = 0 25 + 26y = -32 + 0 25 + 26y = -32 Add '-25' to each side of the equation. 25 + -25 + 26y = -32 + -25 Combine like terms: 25 + -25 = 0 0 + 26y = -32 + -25 26y = -32 + -25 Combine like terms: -32 + -25 = -57 26y = -57 Divide each side by '26'. y = -2.192307692 Simplifying y = -2.192307692
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