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Simplifying 5(y + -3) + 1 = -2(y + -7) Reorder the terms: 5(-3 + y) + 1 = -2(y + -7) (-3 * 5 + y * 5) + 1 = -2(y + -7) (-15 + 5y) + 1 = -2(y + -7) Reorder the terms: -15 + 1 + 5y = -2(y + -7) Combine like terms: -15 + 1 = -14 -14 + 5y = -2(y + -7) Reorder the terms: -14 + 5y = -2(-7 + y) -14 + 5y = (-7 * -2 + y * -2) -14 + 5y = (14 + -2y) Solving -14 + 5y = 14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -14 + 5y + 2y = 14 + -2y + 2y Combine like terms: 5y + 2y = 7y -14 + 7y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 -14 + 7y = 14 + 0 -14 + 7y = 14 Add '14' to each side of the equation. -14 + 14 + 7y = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 14 + 14 7y = 14 + 14 Combine like terms: 14 + 14 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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