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Simplifying 12(y + -4) = 9(y + 10) Reorder the terms: 12(-4 + y) = 9(y + 10) (-4 * 12 + y * 12) = 9(y + 10) (-48 + 12y) = 9(y + 10) Reorder the terms: -48 + 12y = 9(10 + y) -48 + 12y = (10 * 9 + y * 9) -48 + 12y = (90 + 9y) Solving -48 + 12y = 90 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -48 + 12y + -9y = 90 + 9y + -9y Combine like terms: 12y + -9y = 3y -48 + 3y = 90 + 9y + -9y Combine like terms: 9y + -9y = 0 -48 + 3y = 90 + 0 -48 + 3y = 90 Add '48' to each side of the equation. -48 + 48 + 3y = 90 + 48 Combine like terms: -48 + 48 = 0 0 + 3y = 90 + 48 3y = 90 + 48 Combine like terms: 90 + 48 = 138 3y = 138 Divide each side by '3'. y = 46 Simplifying y = 46
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