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Simplifying 2(9y + -1) + -3(2y + 1) + 1 = 5(4y + 3) Reorder the terms: 2(-1 + 9y) + -3(2y + 1) + 1 = 5(4y + 3) (-1 * 2 + 9y * 2) + -3(2y + 1) + 1 = 5(4y + 3) (-2 + 18y) + -3(2y + 1) + 1 = 5(4y + 3) Reorder the terms: -2 + 18y + -3(1 + 2y) + 1 = 5(4y + 3) -2 + 18y + (1 * -3 + 2y * -3) + 1 = 5(4y + 3) -2 + 18y + (-3 + -6y) + 1 = 5(4y + 3) Reorder the terms: -2 + -3 + 1 + 18y + -6y = 5(4y + 3) Combine like terms: -2 + -3 = -5 -5 + 1 + 18y + -6y = 5(4y + 3) Combine like terms: -5 + 1 = -4 -4 + 18y + -6y = 5(4y + 3) Combine like terms: 18y + -6y = 12y -4 + 12y = 5(4y + 3) Reorder the terms: -4 + 12y = 5(3 + 4y) -4 + 12y = (3 * 5 + 4y * 5) -4 + 12y = (15 + 20y) Solving -4 + 12y = 15 + 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 + 12y + -20y = 15 + 20y + -20y Combine like terms: 12y + -20y = -8y -4 + -8y = 15 + 20y + -20y Combine like terms: 20y + -20y = 0 -4 + -8y = 15 + 0 -4 + -8y = 15 Add '4' to each side of the equation. -4 + 4 + -8y = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -8y = 15 + 4 -8y = 15 + 4 Combine like terms: 15 + 4 = 19 -8y = 19 Divide each side by '-8'. y = -2.375 Simplifying y = -2.375
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