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Simplifying 5(y + -3) + -3 = -3(-7y + 7) + -7y Reorder the terms: 5(-3 + y) + -3 = -3(-7y + 7) + -7y (-3 * 5 + y * 5) + -3 = -3(-7y + 7) + -7y (-15 + 5y) + -3 = -3(-7y + 7) + -7y Reorder the terms: -15 + -3 + 5y = -3(-7y + 7) + -7y Combine like terms: -15 + -3 = -18 -18 + 5y = -3(-7y + 7) + -7y Reorder the terms: -18 + 5y = -3(7 + -7y) + -7y -18 + 5y = (7 * -3 + -7y * -3) + -7y -18 + 5y = (-21 + 21y) + -7y Combine like terms: 21y + -7y = 14y -18 + 5y = -21 + 14y Solving -18 + 5y = -21 + 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. -18 + 5y + -14y = -21 + 14y + -14y Combine like terms: 5y + -14y = -9y -18 + -9y = -21 + 14y + -14y Combine like terms: 14y + -14y = 0 -18 + -9y = -21 + 0 -18 + -9y = -21 Add '18' to each side of the equation. -18 + 18 + -9y = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -9y = -21 + 18 -9y = -21 + 18 Combine like terms: -21 + 18 = -3 -9y = -3 Divide each side by '-9'. y = 0.3333333333 Simplifying y = 0.3333333333
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