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Simplifying 5(y + -7) + -3 = -3(-7y + 8) + -4y Reorder the terms: 5(-7 + y) + -3 = -3(-7y + 8) + -4y (-7 * 5 + y * 5) + -3 = -3(-7y + 8) + -4y (-35 + 5y) + -3 = -3(-7y + 8) + -4y Reorder the terms: -35 + -3 + 5y = -3(-7y + 8) + -4y Combine like terms: -35 + -3 = -38 -38 + 5y = -3(-7y + 8) + -4y Reorder the terms: -38 + 5y = -3(8 + -7y) + -4y -38 + 5y = (8 * -3 + -7y * -3) + -4y -38 + 5y = (-24 + 21y) + -4y Combine like terms: 21y + -4y = 17y -38 + 5y = -24 + 17y Solving -38 + 5y = -24 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -38 + 5y + -17y = -24 + 17y + -17y Combine like terms: 5y + -17y = -12y -38 + -12y = -24 + 17y + -17y Combine like terms: 17y + -17y = 0 -38 + -12y = -24 + 0 -38 + -12y = -24 Add '38' to each side of the equation. -38 + 38 + -12y = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -12y = -24 + 38 -12y = -24 + 38 Combine like terms: -24 + 38 = 14 -12y = 14 Divide each side by '-12'. y = -1.166666667 Simplifying y = -1.166666667
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