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Simplifying 5(y + -3) + 4(3y + -2) = 62 Reorder the terms: 5(-3 + y) + 4(3y + -2) = 62 (-3 * 5 + y * 5) + 4(3y + -2) = 62 (-15 + 5y) + 4(3y + -2) = 62 Reorder the terms: -15 + 5y + 4(-2 + 3y) = 62 -15 + 5y + (-2 * 4 + 3y * 4) = 62 -15 + 5y + (-8 + 12y) = 62 Reorder the terms: -15 + -8 + 5y + 12y = 62 Combine like terms: -15 + -8 = -23 -23 + 5y + 12y = 62 Combine like terms: 5y + 12y = 17y -23 + 17y = 62 Solving -23 + 17y = 62 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 17y = 62 + 23 Combine like terms: -23 + 23 = 0 0 + 17y = 62 + 23 17y = 62 + 23 Combine like terms: 62 + 23 = 85 17y = 85 Divide each side by '17'. y = 5 Simplifying y = 5
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