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Simplifying -5y + -7(-3y + 8) = 5 + 1(-3 + -1y) Reorder the terms: -5y + -7(8 + -3y) = 5 + 1(-3 + -1y) -5y + (8 * -7 + -3y * -7) = 5 + 1(-3 + -1y) -5y + (-56 + 21y) = 5 + 1(-3 + -1y) Reorder the terms: -56 + -5y + 21y = 5 + 1(-3 + -1y) Combine like terms: -5y + 21y = 16y -56 + 16y = 5 + 1(-3 + -1y) -56 + 16y = 5 + (-3 * 1 + -1y * 1) -56 + 16y = 5 + (-3 + -1y) Combine like terms: 5 + -3 = 2 -56 + 16y = 2 + -1y Solving -56 + 16y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -56 + 16y + y = 2 + -1y + y Combine like terms: 16y + y = 17y -56 + 17y = 2 + -1y + y Combine like terms: -1y + y = 0 -56 + 17y = 2 + 0 -56 + 17y = 2 Add '56' to each side of the equation. -56 + 56 + 17y = 2 + 56 Combine like terms: -56 + 56 = 0 0 + 17y = 2 + 56 17y = 2 + 56 Combine like terms: 2 + 56 = 58 17y = 58 Divide each side by '17'. y = 3.411764706 Simplifying y = 3.411764706
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