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Simplifying 3 + -2(3y + -8) + 2y = 4(-3y + 8) + 3 Reorder the terms: 3 + -2(-8 + 3y) + 2y = 4(-3y + 8) + 3 3 + (-8 * -2 + 3y * -2) + 2y = 4(-3y + 8) + 3 3 + (16 + -6y) + 2y = 4(-3y + 8) + 3 Combine like terms: 3 + 16 = 19 19 + -6y + 2y = 4(-3y + 8) + 3 Combine like terms: -6y + 2y = -4y 19 + -4y = 4(-3y + 8) + 3 Reorder the terms: 19 + -4y = 4(8 + -3y) + 3 19 + -4y = (8 * 4 + -3y * 4) + 3 19 + -4y = (32 + -12y) + 3 Reorder the terms: 19 + -4y = 32 + 3 + -12y Combine like terms: 32 + 3 = 35 19 + -4y = 35 + -12y Solving 19 + -4y = 35 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 19 + -4y + 12y = 35 + -12y + 12y Combine like terms: -4y + 12y = 8y 19 + 8y = 35 + -12y + 12y Combine like terms: -12y + 12y = 0 19 + 8y = 35 + 0 19 + 8y = 35 Add '-19' to each side of the equation. 19 + -19 + 8y = 35 + -19 Combine like terms: 19 + -19 = 0 0 + 8y = 35 + -19 8y = 35 + -19 Combine like terms: 35 + -19 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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