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Simplifying 9y + 3(y + -4) = 10(y + -5) + 7 Reorder the terms: 9y + 3(-4 + y) = 10(y + -5) + 7 9y + (-4 * 3 + y * 3) = 10(y + -5) + 7 9y + (-12 + 3y) = 10(y + -5) + 7 Reorder the terms: -12 + 9y + 3y = 10(y + -5) + 7 Combine like terms: 9y + 3y = 12y -12 + 12y = 10(y + -5) + 7 Reorder the terms: -12 + 12y = 10(-5 + y) + 7 -12 + 12y = (-5 * 10 + y * 10) + 7 -12 + 12y = (-50 + 10y) + 7 Reorder the terms: -12 + 12y = -50 + 7 + 10y Combine like terms: -50 + 7 = -43 -12 + 12y = -43 + 10y Solving -12 + 12y = -43 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + 12y + -10y = -43 + 10y + -10y Combine like terms: 12y + -10y = 2y -12 + 2y = -43 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + 2y = -43 + 0 -12 + 2y = -43 Add '12' to each side of the equation. -12 + 12 + 2y = -43 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -43 + 12 2y = -43 + 12 Combine like terms: -43 + 12 = -31 2y = -31 Divide each side by '2'. y = -15.5 Simplifying y = -15.5
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