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Simplifying (12y + 3) * 4 + -1(9 + -7y) * 5 = 8(3y + -5) Reorder the terms: (3 + 12y) * 4 + -1(9 + -7y) * 5 = 8(3y + -5) Reorder the terms for easier multiplication: 4(3 + 12y) + -1(9 + -7y) * 5 = 8(3y + -5) (3 * 4 + 12y * 4) + -1(9 + -7y) * 5 = 8(3y + -5) (12 + 48y) + -1(9 + -7y) * 5 = 8(3y + -5) Reorder the terms for easier multiplication: 12 + 48y + -1 * 5(9 + -7y) = 8(3y + -5) Multiply -1 * 5 12 + 48y + -5(9 + -7y) = 8(3y + -5) 12 + 48y + (9 * -5 + -7y * -5) = 8(3y + -5) 12 + 48y + (-45 + 35y) = 8(3y + -5) Reorder the terms: 12 + -45 + 48y + 35y = 8(3y + -5) Combine like terms: 12 + -45 = -33 -33 + 48y + 35y = 8(3y + -5) Combine like terms: 48y + 35y = 83y -33 + 83y = 8(3y + -5) Reorder the terms: -33 + 83y = 8(-5 + 3y) -33 + 83y = (-5 * 8 + 3y * 8) -33 + 83y = (-40 + 24y) Solving -33 + 83y = -40 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -33 + 83y + -24y = -40 + 24y + -24y Combine like terms: 83y + -24y = 59y -33 + 59y = -40 + 24y + -24y Combine like terms: 24y + -24y = 0 -33 + 59y = -40 + 0 -33 + 59y = -40 Add '33' to each side of the equation. -33 + 33 + 59y = -40 + 33 Combine like terms: -33 + 33 = 0 0 + 59y = -40 + 33 59y = -40 + 33 Combine like terms: -40 + 33 = -7 59y = -7 Divide each side by '59'. y = -0.1186440678 Simplifying y = -0.1186440678
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