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Simplifying 7 + 4(3 + y) = 8(3y + -1) + 3 7 + (3 * 4 + y * 4) = 8(3y + -1) + 3 7 + (12 + 4y) = 8(3y + -1) + 3 Combine like terms: 7 + 12 = 19 19 + 4y = 8(3y + -1) + 3 Reorder the terms: 19 + 4y = 8(-1 + 3y) + 3 19 + 4y = (-1 * 8 + 3y * 8) + 3 19 + 4y = (-8 + 24y) + 3 Reorder the terms: 19 + 4y = -8 + 3 + 24y Combine like terms: -8 + 3 = -5 19 + 4y = -5 + 24y Solving 19 + 4y = -5 + 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. 19 + 4y + -24y = -5 + 24y + -24y Combine like terms: 4y + -24y = -20y 19 + -20y = -5 + 24y + -24y Combine like terms: 24y + -24y = 0 19 + -20y = -5 + 0 19 + -20y = -5 Add '-19' to each side of the equation. 19 + -19 + -20y = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -20y = -5 + -19 -20y = -5 + -19 Combine like terms: -5 + -19 = -24 -20y = -24 Divide each side by '-20'. y = 1.2 Simplifying y = 1.2
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