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Simplifying 9(y + -4) = 10y + -7 Reorder the terms: 9(-4 + y) = 10y + -7 (-4 * 9 + y * 9) = 10y + -7 (-36 + 9y) = 10y + -7 Reorder the terms: -36 + 9y = -7 + 10y Solving -36 + 9y = -7 + 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. -36 + 9y + -10y = -7 + 10y + -10y Combine like terms: 9y + -10y = -1y -36 + -1y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 -36 + -1y = -7 + 0 -36 + -1y = -7 Add '36' to each side of the equation. -36 + 36 + -1y = -7 + 36 Combine like terms: -36 + 36 = 0 0 + -1y = -7 + 36 -1y = -7 + 36 Combine like terms: -7 + 36 = 29 -1y = 29 Divide each side by '-1'. y = -29 Simplifying y = -29
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