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Simplifying 5(y + -5) + -1 = -2(-2y + 6) + -7y Reorder the terms: 5(-5 + y) + -1 = -2(-2y + 6) + -7y (-5 * 5 + y * 5) + -1 = -2(-2y + 6) + -7y (-25 + 5y) + -1 = -2(-2y + 6) + -7y Reorder the terms: -25 + -1 + 5y = -2(-2y + 6) + -7y Combine like terms: -25 + -1 = -26 -26 + 5y = -2(-2y + 6) + -7y Reorder the terms: -26 + 5y = -2(6 + -2y) + -7y -26 + 5y = (6 * -2 + -2y * -2) + -7y -26 + 5y = (-12 + 4y) + -7y Combine like terms: 4y + -7y = -3y -26 + 5y = -12 + -3y Solving -26 + 5y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -26 + 5y + 3y = -12 + -3y + 3y Combine like terms: 5y + 3y = 8y -26 + 8y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 -26 + 8y = -12 + 0 -26 + 8y = -12 Add '26' to each side of the equation. -26 + 26 + 8y = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 8y = -12 + 26 8y = -12 + 26 Combine like terms: -12 + 26 = 14 8y = 14 Divide each side by '8'. y = 1.75 Simplifying y = 1.75
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