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Simplifying 5(2y + -6) = 4y + -7 Reorder the terms: 5(-6 + 2y) = 4y + -7 (-6 * 5 + 2y * 5) = 4y + -7 (-30 + 10y) = 4y + -7 Reorder the terms: -30 + 10y = -7 + 4y Solving -30 + 10y = -7 + 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 + 10y + -4y = -7 + 4y + -4y Combine like terms: 10y + -4y = 6y -30 + 6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + 6y = -7 + 0 -30 + 6y = -7 Add '30' to each side of the equation. -30 + 30 + 6y = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 6y = -7 + 30 6y = -7 + 30 Combine like terms: -7 + 30 = 23 6y = 23 Divide each side by '6'. y = 3.833333333 Simplifying y = 3.833333333
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