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Simplifying 5(5y + -6) = 4(y + -7) Reorder the terms: 5(-6 + 5y) = 4(y + -7) (-6 * 5 + 5y * 5) = 4(y + -7) (-30 + 25y) = 4(y + -7) Reorder the terms: -30 + 25y = 4(-7 + y) -30 + 25y = (-7 * 4 + y * 4) -30 + 25y = (-28 + 4y) Solving -30 + 25y = -28 + 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. -30 + 25y + -4y = -28 + 4y + -4y Combine like terms: 25y + -4y = 21y -30 + 21y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + 21y = -28 + 0 -30 + 21y = -28 Add '30' to each side of the equation. -30 + 30 + 21y = -28 + 30 Combine like terms: -30 + 30 = 0 0 + 21y = -28 + 30 21y = -28 + 30 Combine like terms: -28 + 30 = 2 21y = 2 Divide each side by '21'. y = 0.09523809524 Simplifying y = 0.09523809524
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