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Simplifying -5 + -1(15y + -1) = 3(7y + -16) + -1y Reorder the terms: -5 + -1(-1 + 15y) = 3(7y + -16) + -1y -5 + (-1 * -1 + 15y * -1) = 3(7y + -16) + -1y -5 + (1 + -15y) = 3(7y + -16) + -1y Combine like terms: -5 + 1 = -4 -4 + -15y = 3(7y + -16) + -1y Reorder the terms: -4 + -15y = 3(-16 + 7y) + -1y -4 + -15y = (-16 * 3 + 7y * 3) + -1y -4 + -15y = (-48 + 21y) + -1y Combine like terms: 21y + -1y = 20y -4 + -15y = -48 + 20y Solving -4 + -15y = -48 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -4 + -15y + -20y = -48 + 20y + -20y Combine like terms: -15y + -20y = -35y -4 + -35y = -48 + 20y + -20y Combine like terms: 20y + -20y = 0 -4 + -35y = -48 + 0 -4 + -35y = -48 Add '4' to each side of the equation. -4 + 4 + -35y = -48 + 4 Combine like terms: -4 + 4 = 0 0 + -35y = -48 + 4 -35y = -48 + 4 Combine like terms: -48 + 4 = -44 -35y = -44 Divide each side by '-35'. y = 1.257142857 Simplifying y = 1.257142857
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