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Simplifying -10y + 18 = -3(5t + -7) + 5y Reorder the terms: 18 + -10y = -3(5t + -7) + 5y Reorder the terms: 18 + -10y = -3(-7 + 5t) + 5y 18 + -10y = (-7 * -3 + 5t * -3) + 5y 18 + -10y = (21 + -15t) + 5y Solving 18 + -10y = 21 + -15t + 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 + -15t + 5y + -5y Combine like terms: -10y + -5y = -15y 18 + -15y = 21 + -15t + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -15y = 21 + -15t + 0 18 + -15y = 21 + -15t Add '-18' to each side of the equation. 18 + -18 + -15y = 21 + -18 + -15t Combine like terms: 18 + -18 = 0 0 + -15y = 21 + -18 + -15t -15y = 21 + -18 + -15t Combine like terms: 21 + -18 = 3 -15y = 3 + -15t Divide each side by '-15'. y = -0.2 + t Simplifying y = -0.2 + t
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