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Simplifying -62 + 5y + 4 = 3(5y + -3) + -9 Reorder the terms: -62 + 4 + 5y = 3(5y + -3) + -9 Combine like terms: -62 + 4 = -58 -58 + 5y = 3(5y + -3) + -9 Reorder the terms: -58 + 5y = 3(-3 + 5y) + -9 -58 + 5y = (-3 * 3 + 5y * 3) + -9 -58 + 5y = (-9 + 15y) + -9 Reorder the terms: -58 + 5y = -9 + -9 + 15y Combine like terms: -9 + -9 = -18 -58 + 5y = -18 + 15y Solving -58 + 5y = -18 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -58 + 5y + -15y = -18 + 15y + -15y Combine like terms: 5y + -15y = -10y -58 + -10y = -18 + 15y + -15y Combine like terms: 15y + -15y = 0 -58 + -10y = -18 + 0 -58 + -10y = -18 Add '58' to each side of the equation. -58 + 58 + -10y = -18 + 58 Combine like terms: -58 + 58 = 0 0 + -10y = -18 + 58 -10y = -18 + 58 Combine like terms: -18 + 58 = 40 -10y = 40 Divide each side by '-10'. y = -4 Simplifying y = -4
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