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Simplifying 5(y + -3) = 7(2y + 1) Reorder the terms: 5(-3 + y) = 7(2y + 1) (-3 * 5 + y * 5) = 7(2y + 1) (-15 + 5y) = 7(2y + 1) Reorder the terms: -15 + 5y = 7(1 + 2y) -15 + 5y = (1 * 7 + 2y * 7) -15 + 5y = (7 + 14y) Solving -15 + 5y = 7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -15 + 5y + -14y = 7 + 14y + -14y Combine like terms: 5y + -14y = -9y -15 + -9y = 7 + 14y + -14y Combine like terms: 14y + -14y = 0 -15 + -9y = 7 + 0 -15 + -9y = 7 Add '15' to each side of the equation. -15 + 15 + -9y = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -9y = 7 + 15 -9y = 7 + 15 Combine like terms: 7 + 15 = 22 -9y = 22 Divide each side by '-9'. y = -2.444444444 Simplifying y = -2.444444444
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