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Simplifying 5(5y + -6) = 2(6y + -8) Reorder the terms: 5(-6 + 5y) = 2(6y + -8) (-6 * 5 + 5y * 5) = 2(6y + -8) (-30 + 25y) = 2(6y + -8) Reorder the terms: -30 + 25y = 2(-8 + 6y) -30 + 25y = (-8 * 2 + 6y * 2) -30 + 25y = (-16 + 12y) Solving -30 + 25y = -16 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -30 + 25y + -12y = -16 + 12y + -12y Combine like terms: 25y + -12y = 13y -30 + 13y = -16 + 12y + -12y Combine like terms: 12y + -12y = 0 -30 + 13y = -16 + 0 -30 + 13y = -16 Add '30' to each side of the equation. -30 + 30 + 13y = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 13y = -16 + 30 13y = -16 + 30 Combine like terms: -16 + 30 = 14 13y = 14 Divide each side by '13'. y = 1.076923077 Simplifying y = 1.076923077
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