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Simplifying 7y + -2(5 + 3y) = 5y + -17 7y + (5 * -2 + 3y * -2) = 5y + -17 7y + (-10 + -6y) = 5y + -17 Reorder the terms: -10 + 7y + -6y = 5y + -17 Combine like terms: 7y + -6y = 1y -10 + 1y = 5y + -17 Reorder the terms: -10 + 1y = -17 + 5y Solving -10 + 1y = -17 + 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. -10 + 1y + -5y = -17 + 5y + -5y Combine like terms: 1y + -5y = -4y -10 + -4y = -17 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -4y = -17 + 0 -10 + -4y = -17 Add '10' to each side of the equation. -10 + 10 + -4y = -17 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -17 + 10 -4y = -17 + 10 Combine like terms: -17 + 10 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75
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