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Simplifying 4(3y + -3) + 10 = 2(2y + 3) + 4 Reorder the terms: 4(-3 + 3y) + 10 = 2(2y + 3) + 4 (-3 * 4 + 3y * 4) + 10 = 2(2y + 3) + 4 (-12 + 12y) + 10 = 2(2y + 3) + 4 Reorder the terms: -12 + 10 + 12y = 2(2y + 3) + 4 Combine like terms: -12 + 10 = -2 -2 + 12y = 2(2y + 3) + 4 Reorder the terms: -2 + 12y = 2(3 + 2y) + 4 -2 + 12y = (3 * 2 + 2y * 2) + 4 -2 + 12y = (6 + 4y) + 4 Reorder the terms: -2 + 12y = 6 + 4 + 4y Combine like terms: 6 + 4 = 10 -2 + 12y = 10 + 4y Solving -2 + 12y = 10 + 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 = 10 + 4y + -4y Combine like terms: 12y + -4y = 8y -2 + 8y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 8y = 10 + 0 -2 + 8y = 10 Add '2' to each side of the equation. -2 + 2 + 8y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 8y = 10 + 2 8y = 10 + 2 Combine like terms: 10 + 2 = 12 8y = 12 Divide each side by '8'. y = 1.5 Simplifying y = 1.5
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