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Simplifying 2(5y + 2) + 7 = 4(3y + -4) + 2 Reorder the terms: 2(2 + 5y) + 7 = 4(3y + -4) + 2 (2 * 2 + 5y * 2) + 7 = 4(3y + -4) + 2 (4 + 10y) + 7 = 4(3y + -4) + 2 Reorder the terms: 4 + 7 + 10y = 4(3y + -4) + 2 Combine like terms: 4 + 7 = 11 11 + 10y = 4(3y + -4) + 2 Reorder the terms: 11 + 10y = 4(-4 + 3y) + 2 11 + 10y = (-4 * 4 + 3y * 4) + 2 11 + 10y = (-16 + 12y) + 2 Reorder the terms: 11 + 10y = -16 + 2 + 12y Combine like terms: -16 + 2 = -14 11 + 10y = -14 + 12y Solving 11 + 10y = -14 + 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. 11 + 10y + -12y = -14 + 12y + -12y Combine like terms: 10y + -12y = -2y 11 + -2y = -14 + 12y + -12y Combine like terms: 12y + -12y = 0 11 + -2y = -14 + 0 11 + -2y = -14 Add '-11' to each side of the equation. 11 + -11 + -2y = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -2y = -14 + -11 -2y = -14 + -11 Combine like terms: -14 + -11 = -25 -2y = -25 Divide each side by '-2'. y = 12.5 Simplifying y = 12.5
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