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Simplifying 4(3y + -2) + 10 = 3y + -1(7y + -8) Reorder the terms: 4(-2 + 3y) + 10 = 3y + -1(7y + -8) (-2 * 4 + 3y * 4) + 10 = 3y + -1(7y + -8) (-8 + 12y) + 10 = 3y + -1(7y + -8) Reorder the terms: -8 + 10 + 12y = 3y + -1(7y + -8) Combine like terms: -8 + 10 = 2 2 + 12y = 3y + -1(7y + -8) Reorder the terms: 2 + 12y = 3y + -1(-8 + 7y) 2 + 12y = 3y + (-8 * -1 + 7y * -1) 2 + 12y = 3y + (8 + -7y) Reorder the terms: 2 + 12y = 8 + 3y + -7y Combine like terms: 3y + -7y = -4y 2 + 12y = 8 + -4y Solving 2 + 12y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 2 + 12y + 4y = 8 + -4y + 4y Combine like terms: 12y + 4y = 16y 2 + 16y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 16y = 8 + 0 2 + 16y = 8 Add '-2' to each side of the equation. 2 + -2 + 16y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 16y = 8 + -2 16y = 8 + -2 Combine like terms: 8 + -2 = 6 16y = 6 Divide each side by '16'. y = 0.375 Simplifying y = 0.375
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