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Simplifying 10y + 3 = 12y + -4 Reorder the terms: 3 + 10y = 12y + -4 Reorder the terms: 3 + 10y = -4 + 12y Solving 3 + 10y = -4 + 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. 3 + 10y + -12y = -4 + 12y + -12y Combine like terms: 10y + -12y = -2y 3 + -2y = -4 + 12y + -12y Combine like terms: 12y + -12y = 0 3 + -2y = -4 + 0 3 + -2y = -4 Add '-3' to each side of the equation. 3 + -3 + -2y = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = -4 + -3 -2y = -4 + -3 Combine like terms: -4 + -3 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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