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Simplifying 5(y + -4) + -3(2y + 4) = y + -10 Reorder the terms: 5(-4 + y) + -3(2y + 4) = y + -10 (-4 * 5 + y * 5) + -3(2y + 4) = y + -10 (-20 + 5y) + -3(2y + 4) = y + -10 Reorder the terms: -20 + 5y + -3(4 + 2y) = y + -10 -20 + 5y + (4 * -3 + 2y * -3) = y + -10 -20 + 5y + (-12 + -6y) = y + -10 Reorder the terms: -20 + -12 + 5y + -6y = y + -10 Combine like terms: -20 + -12 = -32 -32 + 5y + -6y = y + -10 Combine like terms: 5y + -6y = -1y -32 + -1y = y + -10 Reorder the terms: -32 + -1y = -10 + y Solving -32 + -1y = -10 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -32 + -1y + -1y = -10 + y + -1y Combine like terms: -1y + -1y = -2y -32 + -2y = -10 + y + -1y Combine like terms: y + -1y = 0 -32 + -2y = -10 + 0 -32 + -2y = -10 Add '32' to each side of the equation. -32 + 32 + -2y = -10 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -10 + 32 -2y = -10 + 32 Combine like terms: -10 + 32 = 22 -2y = 22 Divide each side by '-2'. y = -11 Simplifying y = -11
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