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Simplifying 10(y + 7) = 12y Reorder the terms: 10(7 + y) = 12y (7 * 10 + y * 10) = 12y (70 + 10y) = 12y Solving 70 + 10y = 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. 70 + 10y + -12y = 12y + -12y Combine like terms: 10y + -12y = -2y 70 + -2y = 12y + -12y Combine like terms: 12y + -12y = 0 70 + -2y = 0 Add '-70' to each side of the equation. 70 + -70 + -2y = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -2y = 0 + -70 -2y = 0 + -70 Combine like terms: 0 + -70 = -70 -2y = -70 Divide each side by '-2'. y = 35 Simplifying y = 35
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