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Simplifying 3(4y + -3) + -1 = 2(2y + -1) + 7 Reorder the terms: 3(-3 + 4y) + -1 = 2(2y + -1) + 7 (-3 * 3 + 4y * 3) + -1 = 2(2y + -1) + 7 (-9 + 12y) + -1 = 2(2y + -1) + 7 Reorder the terms: -9 + -1 + 12y = 2(2y + -1) + 7 Combine like terms: -9 + -1 = -10 -10 + 12y = 2(2y + -1) + 7 Reorder the terms: -10 + 12y = 2(-1 + 2y) + 7 -10 + 12y = (-1 * 2 + 2y * 2) + 7 -10 + 12y = (-2 + 4y) + 7 Reorder the terms: -10 + 12y = -2 + 7 + 4y Combine like terms: -2 + 7 = 5 -10 + 12y = 5 + 4y Solving -10 + 12y = 5 + 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. -10 + 12y + -4y = 5 + 4y + -4y Combine like terms: 12y + -4y = 8y -10 + 8y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 8y = 5 + 0 -10 + 8y = 5 Add '10' to each side of the equation. -10 + 10 + 8y = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = 5 + 10 8y = 5 + 10 Combine like terms: 5 + 10 = 15 8y = 15 Divide each side by '8'. y = 1.875 Simplifying y = 1.875
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