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Simplifying -10y + 18 = -3(3x + 7) + 5y Reorder the terms: 18 + -10y = -3(3x + 7) + 5y Reorder the terms: 18 + -10y = -3(7 + 3x) + 5y 18 + -10y = (7 * -3 + 3x * -3) + 5y 18 + -10y = (-21 + -9x) + 5y Solving 18 + -10y = -21 + -9x + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + -10y + -5y = -21 + -9x + 5y + -5y Combine like terms: -10y + -5y = -15y 18 + -15y = -21 + -9x + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -15y = -21 + -9x + 0 18 + -15y = -21 + -9x Add '-18' to each side of the equation. 18 + -18 + -15y = -21 + -18 + -9x Combine like terms: 18 + -18 = 0 0 + -15y = -21 + -18 + -9x -15y = -21 + -18 + -9x Combine like terms: -21 + -18 = -39 -15y = -39 + -9x Divide each side by '-15'. y = 2.6 + 0.6x Simplifying y = 2.6 + 0.6x
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