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Simplifying 4(2y + 3) + -1 = 2(6y + -1) + 13 Reorder the terms: 4(3 + 2y) + -1 = 2(6y + -1) + 13 (3 * 4 + 2y * 4) + -1 = 2(6y + -1) + 13 (12 + 8y) + -1 = 2(6y + -1) + 13 Reorder the terms: 12 + -1 + 8y = 2(6y + -1) + 13 Combine like terms: 12 + -1 = 11 11 + 8y = 2(6y + -1) + 13 Reorder the terms: 11 + 8y = 2(-1 + 6y) + 13 11 + 8y = (-1 * 2 + 6y * 2) + 13 11 + 8y = (-2 + 12y) + 13 Reorder the terms: 11 + 8y = -2 + 13 + 12y Combine like terms: -2 + 13 = 11 11 + 8y = 11 + 12y Add '-11' to each side of the equation. 11 + -11 + 8y = 11 + -11 + 12y Combine like terms: 11 + -11 = 0 0 + 8y = 11 + -11 + 12y 8y = 11 + -11 + 12y Combine like terms: 11 + -11 = 0 8y = 0 + 12y 8y = 12y Solving 8y = 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. 8y + -12y = 12y + -12y Combine like terms: 8y + -12y = -4y -4y = 12y + -12y Combine like terms: 12y + -12y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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