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Simplifying 5y + -7 + -1(2y + -1) = 3(y + -5) + 4(y + 3) Reorder the terms: 5y + -7 + -1(-1 + 2y) = 3(y + -5) + 4(y + 3) 5y + -7 + (-1 * -1 + 2y * -1) = 3(y + -5) + 4(y + 3) 5y + -7 + (1 + -2y) = 3(y + -5) + 4(y + 3) Reorder the terms: -7 + 1 + 5y + -2y = 3(y + -5) + 4(y + 3) Combine like terms: -7 + 1 = -6 -6 + 5y + -2y = 3(y + -5) + 4(y + 3) Combine like terms: 5y + -2y = 3y -6 + 3y = 3(y + -5) + 4(y + 3) Reorder the terms: -6 + 3y = 3(-5 + y) + 4(y + 3) -6 + 3y = (-5 * 3 + y * 3) + 4(y + 3) -6 + 3y = (-15 + 3y) + 4(y + 3) Reorder the terms: -6 + 3y = -15 + 3y + 4(3 + y) -6 + 3y = -15 + 3y + (3 * 4 + y * 4) -6 + 3y = -15 + 3y + (12 + 4y) Reorder the terms: -6 + 3y = -15 + 12 + 3y + 4y Combine like terms: -15 + 12 = -3 -6 + 3y = -3 + 3y + 4y Combine like terms: 3y + 4y = 7y -6 + 3y = -3 + 7y Solving -6 + 3y = -3 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -6 + 3y + -7y = -3 + 7y + -7y Combine like terms: 3y + -7y = -4y -6 + -4y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + -4y = -3 + 0 -6 + -4y = -3 Add '6' to each side of the equation. -6 + 6 + -4y = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = -3 + 6 -4y = -3 + 6 Combine like terms: -3 + 6 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75
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