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Simplifying 3(2y + -7) = 2(5y + 4) + -10 Reorder the terms: 3(-7 + 2y) = 2(5y + 4) + -10 (-7 * 3 + 2y * 3) = 2(5y + 4) + -10 (-21 + 6y) = 2(5y + 4) + -10 Reorder the terms: -21 + 6y = 2(4 + 5y) + -10 -21 + 6y = (4 * 2 + 5y * 2) + -10 -21 + 6y = (8 + 10y) + -10 Reorder the terms: -21 + 6y = 8 + -10 + 10y Combine like terms: 8 + -10 = -2 -21 + 6y = -2 + 10y Solving -21 + 6y = -2 + 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. -21 + 6y + -10y = -2 + 10y + -10y Combine like terms: 6y + -10y = -4y -21 + -4y = -2 + 10y + -10y Combine like terms: 10y + -10y = 0 -21 + -4y = -2 + 0 -21 + -4y = -2 Add '21' to each side of the equation. -21 + 21 + -4y = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -4y = -2 + 21 -4y = -2 + 21 Combine like terms: -2 + 21 = 19 -4y = 19 Divide each side by '-4'. y = -4.75 Simplifying y = -4.75
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