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Simplifying 3(5y + -4) + 11 = 5(y + -3) + -1(3y + 1) Reorder the terms: 3(-4 + 5y) + 11 = 5(y + -3) + -1(3y + 1) (-4 * 3 + 5y * 3) + 11 = 5(y + -3) + -1(3y + 1) (-12 + 15y) + 11 = 5(y + -3) + -1(3y + 1) Reorder the terms: -12 + 11 + 15y = 5(y + -3) + -1(3y + 1) Combine like terms: -12 + 11 = -1 -1 + 15y = 5(y + -3) + -1(3y + 1) Reorder the terms: -1 + 15y = 5(-3 + y) + -1(3y + 1) -1 + 15y = (-3 * 5 + y * 5) + -1(3y + 1) -1 + 15y = (-15 + 5y) + -1(3y + 1) Reorder the terms: -1 + 15y = -15 + 5y + -1(1 + 3y) -1 + 15y = -15 + 5y + (1 * -1 + 3y * -1) -1 + 15y = -15 + 5y + (-1 + -3y) Reorder the terms: -1 + 15y = -15 + -1 + 5y + -3y Combine like terms: -15 + -1 = -16 -1 + 15y = -16 + 5y + -3y Combine like terms: 5y + -3y = 2y -1 + 15y = -16 + 2y Solving -1 + 15y = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + 15y + -2y = -16 + 2y + -2y Combine like terms: 15y + -2y = 13y -1 + 13y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 13y = -16 + 0 -1 + 13y = -16 Add '1' to each side of the equation. -1 + 1 + 13y = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 13y = -16 + 1 13y = -16 + 1 Combine like terms: -16 + 1 = -15 13y = -15 Divide each side by '13'. y = -1.153846154 Simplifying y = -1.153846154
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