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Simplifying 5(3y + -13) = 6y + -2 Reorder the terms: 5(-13 + 3y) = 6y + -2 (-13 * 5 + 3y * 5) = 6y + -2 (-65 + 15y) = 6y + -2 Reorder the terms: -65 + 15y = -2 + 6y Solving -65 + 15y = -2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -65 + 15y + -6y = -2 + 6y + -6y Combine like terms: 15y + -6y = 9y -65 + 9y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 -65 + 9y = -2 + 0 -65 + 9y = -2 Add '65' to each side of the equation. -65 + 65 + 9y = -2 + 65 Combine like terms: -65 + 65 = 0 0 + 9y = -2 + 65 9y = -2 + 65 Combine like terms: -2 + 65 = 63 9y = 63 Divide each side by '9'. y = 7 Simplifying y = 7
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