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Simplifying 2(y + -7) + -3 = -5(-5y + 7) + -7y Reorder the terms: 2(-7 + y) + -3 = -5(-5y + 7) + -7y (-7 * 2 + y * 2) + -3 = -5(-5y + 7) + -7y (-14 + 2y) + -3 = -5(-5y + 7) + -7y Reorder the terms: -14 + -3 + 2y = -5(-5y + 7) + -7y Combine like terms: -14 + -3 = -17 -17 + 2y = -5(-5y + 7) + -7y Reorder the terms: -17 + 2y = -5(7 + -5y) + -7y -17 + 2y = (7 * -5 + -5y * -5) + -7y -17 + 2y = (-35 + 25y) + -7y Combine like terms: 25y + -7y = 18y -17 + 2y = -35 + 18y Solving -17 + 2y = -35 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -17 + 2y + -18y = -35 + 18y + -18y Combine like terms: 2y + -18y = -16y -17 + -16y = -35 + 18y + -18y Combine like terms: 18y + -18y = 0 -17 + -16y = -35 + 0 -17 + -16y = -35 Add '17' to each side of the equation. -17 + 17 + -16y = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -16y = -35 + 17 -16y = -35 + 17 Combine like terms: -35 + 17 = -18 -16y = -18 Divide each side by '-16'. y = 1.125 Simplifying y = 1.125
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